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Finding the Fourth Proportional to 76,474.60, 114,711.90 and 29,738.41

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Solution

The fourth proportional to 76,474.60, 114,711.90 and 29,738.41 is: 44,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.60 : 114,711.90 = 29,738.41 : x
  2. Step 2: Convert to fraction form
    76,474.60/114,711.90 = 29,738.41/x
  3. Step 3: Cross multiply
    76,474.60x = 114,711.90 × 29,738.41
  4. Step 4: Simplify right side
    76,474.60x = 3,411,348,791.83
  5. Step 5: Solve for x
    x = 3,411,348,791.83/76,474.60
  6. Step 6: Final answer
    x = 44,607.61

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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.