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Finding the Fourth Proportional to 30,834,009.10, 46,251,013.65 and 27,999,657.10

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Solution

The fourth proportional to 30,834,009.10, 46,251,013.65 and 27,999,657.10 is: 41,999,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834,009.10 : 46,251,013.65 = 27,999,657.10 : x
  2. Step 2: Convert to fraction form
    30,834,009.10/46,251,013.65 = 27,999,657.10/x
  3. Step 3: Cross multiply
    30,834,009.10x = 46,251,013.65 × 27,999,657.10
  4. Step 4: Simplify right side
    30,834,009.10x = 1,295,012,522,727,419.50
  5. Step 5: Solve for x
    x = 1,295,012,522,727,419.50/30,834,009.10
  6. Step 6: Final answer
    x = 41,999,485.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.