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Finding the Fourth Proportional to 76,472.70, 114,741.45 and 48,414.30

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Solution

The fourth proportional to 76,472.70, 114,741.45 and 48,414.30 is: 72,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.70 : 114,741.45 = 48,414.30 : x
  2. Step 2: Convert to fraction form
    76,472.70/114,741.45 = 48,414.30/x
  3. Step 3: Cross multiply
    76,472.70x = 114,741.45 × 48,414.30
  4. Step 4: Simplify right side
    76,472.70x = 5,555,126,982.74
  5. Step 5: Solve for x
    x = 5,555,126,982.74/76,472.70
  6. Step 6: Final answer
    x = 72,641.96

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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.