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Finding the Fourth Proportional to 32,397.30, 48,597.17 and 11,620.80

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Solution

The fourth proportional to 32,397.30, 48,597.17 and 11,620.80 is: 17,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,397.30 : 48,597.17 = 11,620.80 : x
  2. Step 2: Convert to fraction form
    32,397.30/48,597.17 = 11,620.80/x
  3. Step 3: Cross multiply
    32,397.30x = 48,597.17 × 11,620.80
  4. Step 4: Simplify right side
    32,397.30x = 564,737,935.03
  5. Step 5: Solve for x
    x = 564,737,935.03/32,397.30
  6. Step 6: Final answer
    x = 17,431.64

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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.