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Finding the Fourth Proportional to 39,565.47, 59,348.31 and 9,983.31

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Solution

The fourth proportional to 39,565.47, 59,348.31 and 9,983.31 is: 14,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,565.47 : 59,348.31 = 9,983.31 : x
  2. Step 2: Convert to fraction form
    39,565.47/59,348.31 = 9,983.31/x
  3. Step 3: Cross multiply
    39,565.47x = 59,348.31 × 9,983.31
  4. Step 4: Simplify right side
    39,565.47x = 592,492,576.71
  5. Step 5: Solve for x
    x = 592,492,576.71/39,565.47
  6. Step 6: Final answer
    x = 14,974.99

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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.