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Finding the Fourth Proportional to 76,402.92, 114,627.85 and 36,472.86

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Solution

The fourth proportional to 76,402.92, 114,627.85 and 36,472.86 is: 54,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402.92 : 114,627.85 = 36,472.86 : x
  2. Step 2: Convert to fraction form
    76,402.92/114,627.85 = 36,472.86/x
  3. Step 3: Cross multiply
    76,402.92x = 114,627.85 × 36,472.86
  4. Step 4: Simplify right side
    76,402.92x = 4,180,805,525.15
  5. Step 5: Solve for x
    x = 4,180,805,525.15/76,402.92
  6. Step 6: Final answer
    x = 54,720.49

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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.