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Finding the Fourth Proportional to 71,877.72, 107,795.82 and 24,491.76

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Solution

The fourth proportional to 71,877.72, 107,795.82 and 24,491.76 is: 36,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.72 : 107,795.82 = 24,491.76 : x
  2. Step 2: Convert to fraction form
    71,877.72/107,795.82 = 24,491.76/x
  3. Step 3: Cross multiply
    71,877.72x = 107,795.82 × 24,491.76
  4. Step 4: Simplify right side
    71,877.72x = 2,640,109,352.44
  5. Step 5: Solve for x
    x = 2,640,109,352.44/71,877.72
  6. Step 6: Final answer
    x = 36,730.57

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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.