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Finding the Fourth Proportional to 32,632.90, 48,951.21 and 9,257.50

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Solution

The fourth proportional to 32,632.90, 48,951.21 and 9,257.50 is: 13,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.90 : 48,951.21 = 9,257.50 : x
  2. Step 2: Convert to fraction form
    32,632.90/48,951.21 = 9,257.50/x
  3. Step 3: Cross multiply
    32,632.90x = 48,951.21 × 9,257.50
  4. Step 4: Simplify right side
    32,632.90x = 453,165,826.58
  5. Step 5: Solve for x
    x = 453,165,826.58/32,632.90
  6. Step 6: Final answer
    x = 13,886.78

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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.