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Finding the Fourth Proportional to 32,425.12, 48,657.12 and 11,650.24

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Solution

The fourth proportional to 32,425.12, 48,657.12 and 11,650.24 is: 17,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425.12 : 48,657.12 = 11,650.24 : x
  2. Step 2: Convert to fraction form
    32,425.12/48,657.12 = 11,650.24/x
  3. Step 3: Cross multiply
    32,425.12x = 48,657.12 × 11,650.24
  4. Step 4: Simplify right side
    32,425.12x = 566,867,125.71
  5. Step 5: Solve for x
    x = 566,867,125.71/32,425.12
  6. Step 6: Final answer
    x = 17,482.34

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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.