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Finding the Fourth Proportional to 36,164.28, 49,934.70 and 29,123.76

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Solution

The fourth proportional to 36,164.28, 49,934.70 and 29,123.76 is: 40,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.28 : 49,934.70 = 29,123.76 : x
  2. Step 2: Convert to fraction form
    36,164.28/49,934.70 = 29,123.76/x
  3. Step 3: Cross multiply
    36,164.28x = 49,934.70 × 29,123.76
  4. Step 4: Simplify right side
    36,164.28x = 1,454,286,218.47
  5. Step 5: Solve for x
    x = 1,454,286,218.47/36,164.28
  6. Step 6: Final answer
    x = 40,213.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.