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Finding the Fourth Proportional to 32,387.30, 48,582.68 and 10,202.40

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Solution

The fourth proportional to 32,387.30, 48,582.68 and 10,202.40 is: 15,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.30 : 48,582.68 = 10,202.40 : x
  2. Step 2: Convert to fraction form
    32,387.30/48,582.68 = 10,202.40/x
  3. Step 3: Cross multiply
    32,387.30x = 48,582.68 × 10,202.40
  4. Step 4: Simplify right side
    32,387.30x = 495,659,883.42
  5. Step 5: Solve for x
    x = 495,659,883.42/32,387.30
  6. Step 6: Final answer
    x = 15,304.15

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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.