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Finding the Fourth Proportional to 57,631.50, 86,452.92 and 16,078.50

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Solution

The fourth proportional to 57,631.50, 86,452.92 and 16,078.50 is: 24,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,631.50 : 86,452.92 = 16,078.50 : x
  2. Step 2: Convert to fraction form
    57,631.50/86,452.92 = 16,078.50/x
  3. Step 3: Cross multiply
    57,631.50x = 86,452.92 × 16,078.50
  4. Step 4: Simplify right side
    57,631.50x = 1,390,033,274.22
  5. Step 5: Solve for x
    x = 1,390,033,274.22/57,631.50
  6. Step 6: Final answer
    x = 24,119.33

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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.