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Finding the Fourth Proportional to 126,063, 189,098.15 and 32,568.75

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Solution

The fourth proportional to 126,063, 189,098.15 and 32,568.75 is: 48,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,063 : 189,098.15 = 32,568.75 : x
  2. Step 2: Convert to fraction form
    126,063/189,098.15 = 32,568.75/x
  3. Step 3: Cross multiply
    126,063x = 189,098.15 × 32,568.75
  4. Step 4: Simplify right side
    126,063x = 6,158,690,209.97
  5. Step 5: Solve for x
    x = 6,158,690,209.97/126,063
  6. Step 6: Final answer
    x = 48,854.07

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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.