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Finding the Fourth Proportional to 57,565.50, 86,353.14 and 16,012.50

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Solution

The fourth proportional to 57,565.50, 86,353.14 and 16,012.50 is: 24,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.50 : 86,353.14 = 16,012.50 : x
  2. Step 2: Convert to fraction form
    57,565.50/86,353.14 = 16,012.50/x
  3. Step 3: Cross multiply
    57,565.50x = 86,353.14 × 16,012.50
  4. Step 4: Simplify right side
    57,565.50x = 1,382,729,654.25
  5. Step 5: Solve for x
    x = 1,382,729,654.25/57,565.50
  6. Step 6: Final answer
    x = 24,020.11

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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.