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Finding the Fourth Proportional to 32,046.67, 48,080.26 and 15,407.92

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Solution

The fourth proportional to 32,046.67, 48,080.26 and 15,407.92 is: 23,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.67 : 48,080.26 = 15,407.92 : x
  2. Step 2: Convert to fraction form
    32,046.67/48,080.26 = 15,407.92/x
  3. Step 3: Cross multiply
    32,046.67x = 48,080.26 × 15,407.92
  4. Step 4: Simplify right side
    32,046.67x = 740,816,559.26
  5. Step 5: Solve for x
    x = 740,816,559.26/32,046.67
  6. Step 6: Final answer
    x = 23,116.81

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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.