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Finding the Fourth Proportional to 32,193.28, 48,294.42 and 10,008.28

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Solution

The fourth proportional to 32,193.28, 48,294.42 and 10,008.28 is: 15,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.28 : 48,294.42 = 10,008.28 : x
  2. Step 2: Convert to fraction form
    32,193.28/48,294.42 = 10,008.28/x
  3. Step 3: Cross multiply
    32,193.28x = 48,294.42 × 10,008.28
  4. Step 4: Simplify right side
    32,193.28x = 483,344,077.80
  5. Step 5: Solve for x
    x = 483,344,077.80/32,193.28
  6. Step 6: Final answer
    x = 15,013.82

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1.5x scale

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.