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Finding the Fourth Proportional to 71,117.58, 106,743.33 and 36,082.38

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Solution

The fourth proportional to 71,117.58, 106,743.33 and 36,082.38 is: 54,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117.58 : 106,743.33 = 36,082.38 : x
  2. Step 2: Convert to fraction form
    71,117.58/106,743.33 = 36,082.38/x
  3. Step 3: Cross multiply
    71,117.58x = 106,743.33 × 36,082.38
  4. Step 4: Simplify right side
    71,117.58x = 3,851,553,395.53
  5. Step 5: Solve for x
    x = 3,851,553,395.53/71,117.58
  6. Step 6: Final answer
    x = 54,157.54

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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.