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Finding the Fourth Proportional to 32,381.68, 48,576 and 10,195.72

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Solution

The fourth proportional to 32,381.68, 48,576 and 10,195.72 is: 15,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.68 : 48,576 = 10,195.72 : x
  2. Step 2: Convert to fraction form
    32,381.68/48,576 = 10,195.72/x
  3. Step 3: Cross multiply
    32,381.68x = 48,576 × 10,195.72
  4. Step 4: Simplify right side
    32,381.68x = 495,267,294.72
  5. Step 5: Solve for x
    x = 495,267,294.72/32,381.68
  6. Step 6: Final answer
    x = 15,294.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.