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Finding the Fourth Proportional to 32,387.45, 48,576.56 and 10,200.25

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Solution

The fourth proportional to 32,387.45, 48,576.56 and 10,200.25 is: 15,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.45 : 48,576.56 = 10,200.25 : x
  2. Step 2: Convert to fraction form
    32,387.45/48,576.56 = 10,200.25/x
  3. Step 3: Cross multiply
    32,387.45x = 48,576.56 × 10,200.25
  4. Step 4: Simplify right side
    32,387.45x = 495,493,056.14
  5. Step 5: Solve for x
    x = 495,493,056.14/32,387.45
  6. Step 6: Final answer
    x = 15,298.92

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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.