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Finding the Fourth Proportional to 75,314.92, 112,952.58 and 35,793.40

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Solution

The fourth proportional to 75,314.92, 112,952.58 and 35,793.40 is: 53,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.92 : 112,952.58 = 35,793.40 : x
  2. Step 2: Convert to fraction form
    75,314.92/112,952.58 = 35,793.40/x
  3. Step 3: Cross multiply
    75,314.92x = 112,952.58 × 35,793.40
  4. Step 4: Simplify right side
    75,314.92x = 4,042,956,876.97
  5. Step 5: Solve for x
    x = 4,042,956,876.97/75,314.92
  6. Step 6: Final answer
    x = 53,680.69

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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.