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Finding the Fourth Proportional to 80,652.48, 120,965.76 and 25,248.48

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Solution

The fourth proportional to 80,652.48, 120,965.76 and 25,248.48 is: 37,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,652.48 : 120,965.76 = 25,248.48 : x
  2. Step 2: Convert to fraction form
    80,652.48/120,965.76 = 25,248.48/x
  3. Step 3: Cross multiply
    80,652.48x = 120,965.76 × 25,248.48
  4. Step 4: Simplify right side
    80,652.48x = 3,054,201,572.04
  5. Step 5: Solve for x
    x = 3,054,201,572.04/80,652.48
  6. Step 6: Final answer
    x = 37,868.66

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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.