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Finding the Fourth Proportional to 115,238.50, 172,886.91 and 32,132.50

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Solution

The fourth proportional to 115,238.50, 172,886.91 and 32,132.50 is: 48,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,238.50 : 172,886.91 = 32,132.50 : x
  2. Step 2: Convert to fraction form
    115,238.50/172,886.91 = 32,132.50/x
  3. Step 3: Cross multiply
    115,238.50x = 172,886.91 × 32,132.50
  4. Step 4: Simplify right side
    115,238.50x = 5,555,288,635.58
  5. Step 5: Solve for x
    x = 5,555,288,635.58/115,238.50
  6. Step 6: Final answer
    x = 48,206.88

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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.