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Finding the Fourth Proportional to 125,304.96, 187,956.48 and 31,811.52

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Solution

The fourth proportional to 125,304.96, 187,956.48 and 31,811.52 is: 47,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,304.96 : 187,956.48 = 31,811.52 : x
  2. Step 2: Convert to fraction form
    125,304.96/187,956.48 = 31,811.52/x
  3. Step 3: Cross multiply
    125,304.96x = 187,956.48 × 31,811.52
  4. Step 4: Simplify right side
    125,304.96x = 5,979,181,322.65
  5. Step 5: Solve for x
    x = 5,979,181,322.65/125,304.96
  6. Step 6: Final answer
    x = 47,717.04

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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.