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Finding the Fourth Proportional to 32,381.52, 48,574.20 and 10,195.60

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Solution

The fourth proportional to 32,381.52, 48,574.20 and 10,195.60 is: 15,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.52 : 48,574.20 = 10,195.60 : x
  2. Step 2: Convert to fraction form
    32,381.52/48,574.20 = 10,195.60/x
  3. Step 3: Cross multiply
    32,381.52x = 48,574.20 × 10,195.60
  4. Step 4: Simplify right side
    32,381.52x = 495,243,113.52
  5. Step 5: Solve for x
    x = 495,243,113.52/32,381.52
  6. Step 6: Final answer
    x = 15,294.00

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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.