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Finding the Fourth Proportional to 31,077, 46,620.09 and 10,009.98

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Solution

The fourth proportional to 31,077, 46,620.09 and 10,009.98 is: 15,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 46,620.09 = 10,009.98 : x
  2. Step 2: Convert to fraction form
    31,077/46,620.09 = 10,009.98/x
  3. Step 3: Cross multiply
    31,077x = 46,620.09 × 10,009.98
  4. Step 4: Simplify right side
    31,077x = 466,666,168.50
  5. Step 5: Solve for x
    x = 466,666,168.50/31,077
  6. Step 6: Final answer
    x = 15,016.45

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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.