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Finding the Fourth Proportional to 57,600.08, 86,414.68 and 16,047.08

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Solution

The fourth proportional to 57,600.08, 86,414.68 and 16,047.08 is: 24,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600.08 : 86,414.68 = 16,047.08 : x
  2. Step 2: Convert to fraction form
    57,600.08/86,414.68 = 16,047.08/x
  3. Step 3: Cross multiply
    57,600.08x = 86,414.68 × 16,047.08
  4. Step 4: Simplify right side
    57,600.08x = 1,386,703,195.17
  5. Step 5: Solve for x
    x = 1,386,703,195.17/57,600.08
  6. Step 6: Final answer
    x = 24,074.68

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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.