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Finding the Fourth Proportional to 76,480.98, 114,721.02 and 29,733.86

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Solution

The fourth proportional to 76,480.98, 114,721.02 and 29,733.86 is: 44,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.98 : 114,721.02 = 29,733.86 : x
  2. Step 2: Convert to fraction form
    76,480.98/114,721.02 = 29,733.86/x
  3. Step 3: Cross multiply
    76,480.98x = 114,721.02 × 29,733.86
  4. Step 4: Simplify right side
    76,480.98x = 3,411,098,747.74
  5. Step 5: Solve for x
    x = 3,411,098,747.74/76,480.98
  6. Step 6: Final answer
    x = 44,600.62

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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.