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Finding the Fourth Proportional to 32,033.82, 48,059.50 and 15,407.76

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Solution

The fourth proportional to 32,033.82, 48,059.50 and 15,407.76 is: 23,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.82 : 48,059.50 = 15,407.76 : x
  2. Step 2: Convert to fraction form
    32,033.82/48,059.50 = 15,407.76/x
  3. Step 3: Cross multiply
    32,033.82x = 48,059.50 × 15,407.76
  4. Step 4: Simplify right side
    32,033.82x = 740,489,241.72
  5. Step 5: Solve for x
    x = 740,489,241.72/32,033.82
  6. Step 6: Final answer
    x = 23,115.86

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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.