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Finding the Fourth Proportional to 40,419.92, 55,754.12 and 27,822.80

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Solution

The fourth proportional to 40,419.92, 55,754.12 and 27,822.80 is: 38,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,419.92 : 55,754.12 = 27,822.80 : x
  2. Step 2: Convert to fraction form
    40,419.92/55,754.12 = 27,822.80/x
  3. Step 3: Cross multiply
    40,419.92x = 55,754.12 × 27,822.80
  4. Step 4: Simplify right side
    40,419.92x = 1,551,235,729.94
  5. Step 5: Solve for x
    x = 1,551,235,729.94/40,419.92
  6. Step 6: Final answer
    x = 38,378.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.