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Finding the Fourth Proportional to 102,951.12, 154,439.16 and 36,377.61

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Solution

The fourth proportional to 102,951.12, 154,439.16 and 36,377.61 is: 54,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,951.12 : 154,439.16 = 36,377.61 : x
  2. Step 2: Convert to fraction form
    102,951.12/154,439.16 = 36,377.61/x
  3. Step 3: Cross multiply
    102,951.12x = 154,439.16 × 36,377.61
  4. Step 4: Simplify right side
    102,951.12x = 5,618,127,531.21
  5. Step 5: Solve for x
    x = 5,618,127,531.21/102,951.12
  6. Step 6: Final answer
    x = 54,570.82

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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.