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Finding the Fourth Proportional to 71,695.93, 107,543.88 and 34,142.14

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Solution

The fourth proportional to 71,695.93, 107,543.88 and 34,142.14 is: 51,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.93 : 107,543.88 = 34,142.14 : x
  2. Step 2: Convert to fraction form
    71,695.93/107,543.88 = 34,142.14/x
  3. Step 3: Cross multiply
    71,695.93x = 107,543.88 × 34,142.14
  4. Step 4: Simplify right side
    71,695.93x = 3,671,777,938.24
  5. Step 5: Solve for x
    x = 3,671,777,938.24/71,695.93
  6. Step 6: Final answer
    x = 51,213.20

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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.