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Finding the Fourth Proportional to 114,965.13, 172,454.97 and 36,082.47

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Solution

The fourth proportional to 114,965.13, 172,454.97 and 36,082.47 is: 54,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,965.13 : 172,454.97 = 36,082.47 : x
  2. Step 2: Convert to fraction form
    114,965.13/172,454.97 = 36,082.47/x
  3. Step 3: Cross multiply
    114,965.13x = 172,454.97 × 36,082.47
  4. Step 4: Simplify right side
    114,965.13x = 6,222,601,281.38
  5. Step 5: Solve for x
    x = 6,222,601,281.38/114,965.13
  6. Step 6: Final answer
    x = 54,125.99

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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.