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Finding the Fourth Proportional to 52,549.56, 78,796.48 and 22,932.80

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Solution

The fourth proportional to 52,549.56, 78,796.48 and 22,932.80 is: 34,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,549.56 : 78,796.48 = 22,932.80 : x
  2. Step 2: Convert to fraction form
    52,549.56/78,796.48 = 22,932.80/x
  3. Step 3: Cross multiply
    52,549.56x = 78,796.48 × 22,932.80
  4. Step 4: Simplify right side
    52,549.56x = 1,807,023,916.54
  5. Step 5: Solve for x
    x = 1,807,023,916.54/52,549.56
  6. Step 6: Final answer
    x = 34,387.04

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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.