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Finding the Fourth Proportional to 39,564.57, 59,344.79 and 9,982.68

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Solution

The fourth proportional to 39,564.57, 59,344.79 and 9,982.68 is: 14,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564.57 : 59,344.79 = 9,982.68 : x
  2. Step 2: Convert to fraction form
    39,564.57/59,344.79 = 9,982.68/x
  3. Step 3: Cross multiply
    39,564.57x = 59,344.79 × 9,982.68
  4. Step 4: Simplify right side
    39,564.57x = 592,419,998.32
  5. Step 5: Solve for x
    x = 592,419,998.32/39,564.57
  6. Step 6: Final answer
    x = 14,973.50

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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.