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Finding the Fourth Proportional to 57,631.86, 86,427 and 24,354.50

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Solution

The fourth proportional to 57,631.86, 86,427 and 24,354.50 is: 36,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,631.86 : 86,427 = 24,354.50 : x
  2. Step 2: Convert to fraction form
    57,631.86/86,427 = 24,354.50/x
  3. Step 3: Cross multiply
    57,631.86x = 86,427 × 24,354.50
  4. Step 4: Simplify right side
    57,631.86x = 2,104,886,263.47
  5. Step 5: Solve for x
    x = 2,104,886,263.47/57,631.86
  6. Step 6: Final answer
    x = 36,522.96

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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.