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Finding the Fourth Proportional to 80,472.96, 120,722.40 and 25,056

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Solution

The fourth proportional to 80,472.96, 120,722.40 and 25,056 is: 37,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472.96 : 120,722.40 = 25,056 : x
  2. Step 2: Convert to fraction form
    80,472.96/120,722.40 = 25,056/x
  3. Step 3: Cross multiply
    80,472.96x = 120,722.40 × 25,056
  4. Step 4: Simplify right side
    80,472.96x = 3,024,820,454.40
  5. Step 5: Solve for x
    x = 3,024,820,454.40/80,472.96
  6. Step 6: Final answer
    x = 37,588.04

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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.