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Finding the Fourth Proportional to 46,626, 69,999.96 and 27,685.20

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Solution

The fourth proportional to 46,626, 69,999.96 and 27,685.20 is: 41,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,626 : 69,999.96 = 27,685.20 : x
  2. Step 2: Convert to fraction form
    46,626/69,999.96 = 27,685.20/x
  3. Step 3: Cross multiply
    46,626x = 69,999.96 × 27,685.20
  4. Step 4: Simplify right side
    46,626x = 1,937,962,892.59
  5. Step 5: Solve for x
    x = 1,937,962,892.59/46,626
  6. Step 6: Final answer
    x = 41,564.00

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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.