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Finding the Fourth Proportional to 129,516.38, 194,285.57 and 36,022.13

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Solution

The fourth proportional to 129,516.38, 194,285.57 and 36,022.13 is: 54,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,516.38 : 194,285.57 = 36,022.13 : x
  2. Step 2: Convert to fraction form
    129,516.38/194,285.57 = 36,022.13/x
  3. Step 3: Cross multiply
    129,516.38x = 194,285.57 × 36,022.13
  4. Step 4: Simplify right side
    129,516.38x = 6,998,578,908.13
  5. Step 5: Solve for x
    x = 6,998,578,908.13/129,516.38
  6. Step 6: Final answer
    x = 54,036.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.