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Finding the Fourth Proportional to 32,449.92, 48,680.02 and 13,730.10

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Solution

The fourth proportional to 32,449.92, 48,680.02 and 13,730.10 is: 20,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.92 : 48,680.02 = 13,730.10 : x
  2. Step 2: Convert to fraction form
    32,449.92/48,680.02 = 13,730.10/x
  3. Step 3: Cross multiply
    32,449.92x = 48,680.02 × 13,730.10
  4. Step 4: Simplify right side
    32,449.92x = 668,381,299.20
  5. Step 5: Solve for x
    x = 668,381,299.20/32,449.92
  6. Step 6: Final answer
    x = 20,597.32

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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.