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Finding the Fourth Proportional to 57,602, 86,407.96 and 16,049

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Solution

The fourth proportional to 57,602, 86,407.96 and 16,049 is: 24,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 86,407.96 = 16,049 : x
  2. Step 2: Convert to fraction form
    57,602/86,407.96 = 16,049/x
  3. Step 3: Cross multiply
    57,602x = 86,407.96 × 16,049
  4. Step 4: Simplify right side
    57,602x = 1,386,761,350.04
  5. Step 5: Solve for x
    x = 1,386,761,350.04/57,602
  6. Step 6: Final answer
    x = 24,074.88

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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.