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Finding the Fourth Proportional to 71,502.72, 98,673.12 and 41,294.40

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Solution

The fourth proportional to 71,502.72, 98,673.12 and 41,294.40 is: 56,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.72 : 98,673.12 = 41,294.40 : x
  2. Step 2: Convert to fraction form
    71,502.72/98,673.12 = 41,294.40/x
  3. Step 3: Cross multiply
    71,502.72x = 98,673.12 × 41,294.40
  4. Step 4: Simplify right side
    71,502.72x = 4,074,647,286.53
  5. Step 5: Solve for x
    x = 4,074,647,286.53/71,502.72
  6. Step 6: Final answer
    x = 56,985.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.