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Finding the Fourth Proportional to 32,405.64, 48,613.56 and 11,352.12

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Solution

The fourth proportional to 32,405.64, 48,613.56 and 11,352.12 is: 17,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.64 : 48,613.56 = 11,352.12 : x
  2. Step 2: Convert to fraction form
    32,405.64/48,613.56 = 11,352.12/x
  3. Step 3: Cross multiply
    32,405.64x = 48,613.56 × 11,352.12
  4. Step 4: Simplify right side
    32,405.64x = 551,866,966.75
  5. Step 5: Solve for x
    x = 551,866,966.75/32,405.64
  6. Step 6: Final answer
    x = 17,029.97

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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.