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Finding the Fourth Proportional to 32,439.60, 48,659.40 and 30,471.30

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Solution

The fourth proportional to 32,439.60, 48,659.40 and 30,471.30 is: 45,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439.60 : 48,659.40 = 30,471.30 : x
  2. Step 2: Convert to fraction form
    32,439.60/48,659.40 = 30,471.30/x
  3. Step 3: Cross multiply
    32,439.60x = 48,659.40 × 30,471.30
  4. Step 4: Simplify right side
    32,439.60x = 1,482,715,175.22
  5. Step 5: Solve for x
    x = 1,482,715,175.22/32,439.60
  6. Step 6: Final answer
    x = 45,706.95

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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.