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Finding the Fourth Proportional to 71,376.70, 107,065.05 and 41,827.90

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Solution

The fourth proportional to 71,376.70, 107,065.05 and 41,827.90 is: 62,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.70 : 107,065.05 = 41,827.90 : x
  2. Step 2: Convert to fraction form
    71,376.70/107,065.05 = 41,827.90/x
  3. Step 3: Cross multiply
    71,376.70x = 107,065.05 × 41,827.90
  4. Step 4: Simplify right side
    71,376.70x = 4,478,306,204.90
  5. Step 5: Solve for x
    x = 4,478,306,204.90/71,376.70
  6. Step 6: Final answer
    x = 62,741.85

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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.