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Finding the Fourth Proportional to 39,527.52, 59,294.38 and 11,448

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Solution

The fourth proportional to 39,527.52, 59,294.38 and 11,448 is: 17,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527.52 : 59,294.38 = 11,448 : x
  2. Step 2: Convert to fraction form
    39,527.52/59,294.38 = 11,448/x
  3. Step 3: Cross multiply
    39,527.52x = 59,294.38 × 11,448
  4. Step 4: Simplify right side
    39,527.52x = 678,802,062.24
  5. Step 5: Solve for x
    x = 678,802,062.24/39,527.52
  6. Step 6: Final answer
    x = 17,172.90

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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.