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Finding the Fourth Proportional to 39,605.68, 59,266.96 and 34,402

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Solution

The fourth proportional to 39,605.68, 59,266.96 and 34,402 is: 51,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,605.68 : 59,266.96 = 34,402 : x
  2. Step 2: Convert to fraction form
    39,605.68/59,266.96 = 34,402/x
  3. Step 3: Cross multiply
    39,605.68x = 59,266.96 × 34,402
  4. Step 4: Simplify right side
    39,605.68x = 2,038,901,957.92
  5. Step 5: Solve for x
    x = 2,038,901,957.92/39,605.68
  6. Step 6: Final answer
    x = 51,480.04

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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.