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Finding the Fourth Proportional to 76,134.13, 114,125.90 and 36,082.80

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Solution

The fourth proportional to 76,134.13, 114,125.90 and 36,082.80 is: 54,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.13 : 114,125.90 = 36,082.80 : x
  2. Step 2: Convert to fraction form
    76,134.13/114,125.90 = 36,082.80/x
  3. Step 3: Cross multiply
    76,134.13x = 114,125.90 × 36,082.80
  4. Step 4: Simplify right side
    76,134.13x = 4,117,981,844.11
  5. Step 5: Solve for x
    x = 4,117,981,844.11/76,134.13
  6. Step 6: Final answer
    x = 54,088.51

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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.