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Finding the Fourth Proportional to 71,505.80, 98,679.14 and 41,293.76

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Solution

The fourth proportional to 71,505.80, 98,679.14 and 41,293.76 is: 56,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505.80 : 98,679.14 = 41,293.76 : x
  2. Step 2: Convert to fraction form
    71,505.80/98,679.14 = 41,293.76/x
  3. Step 3: Cross multiply
    71,505.80x = 98,679.14 × 41,293.76
  4. Step 4: Simplify right side
    71,505.80x = 4,074,832,024.30
  5. Step 5: Solve for x
    x = 4,074,832,024.30/71,505.80
  6. Step 6: Final answer
    x = 56,986.04

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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.