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Finding the Fourth Proportional to 32,382.38, 48,574.18 and 10,196.48

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Solution

The fourth proportional to 32,382.38, 48,574.18 and 10,196.48 is: 15,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.38 : 48,574.18 = 10,196.48 : x
  2. Step 2: Convert to fraction form
    32,382.38/48,574.18 = 10,196.48/x
  3. Step 3: Cross multiply
    32,382.38x = 48,574.18 × 10,196.48
  4. Step 4: Simplify right side
    32,382.38x = 495,285,654.89
  5. Step 5: Solve for x
    x = 495,285,654.89/32,382.38
  6. Step 6: Final answer
    x = 15,294.91

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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.