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Finding the Fourth Proportional to 39,866.50, 59,805.42 and 13,564.18

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Solution

The fourth proportional to 39,866.50, 59,805.42 and 13,564.18 is: 20,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866.50 : 59,805.42 = 13,564.18 : x
  2. Step 2: Convert to fraction form
    39,866.50/59,805.42 = 13,564.18/x
  3. Step 3: Cross multiply
    39,866.50x = 59,805.42 × 13,564.18
  4. Step 4: Simplify right side
    39,866.50x = 811,211,481.86
  5. Step 5: Solve for x
    x = 811,211,481.86/39,866.50
  6. Step 6: Final answer
    x = 20,348.20

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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.