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Finding the Fourth Proportional to 71,874.18, 107,679.84 and 52,103.70

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Solution

The fourth proportional to 71,874.18, 107,679.84 and 52,103.70 is: 78,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874.18 : 107,679.84 = 52,103.70 : x
  2. Step 2: Convert to fraction form
    71,874.18/107,679.84 = 52,103.70/x
  3. Step 3: Cross multiply
    71,874.18x = 107,679.84 × 52,103.70
  4. Step 4: Simplify right side
    71,874.18x = 5,610,518,079.41
  5. Step 5: Solve for x
    x = 5,610,518,079.41/71,874.18
  6. Step 6: Final answer
    x = 78,060.27

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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.