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Finding the Fourth Proportional to 52,278.46, 78,373.61 and 22,674

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Solution

The fourth proportional to 52,278.46, 78,373.61 and 22,674 is: 33,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278.46 : 78,373.61 = 22,674 : x
  2. Step 2: Convert to fraction form
    52,278.46/78,373.61 = 22,674/x
  3. Step 3: Cross multiply
    52,278.46x = 78,373.61 × 22,674
  4. Step 4: Simplify right side
    52,278.46x = 1,777,043,233.14
  5. Step 5: Solve for x
    x = 1,777,043,233.14/52,278.46
  6. Step 6: Final answer
    x = 33,991.88

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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.