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Finding the Fourth Proportional to 81,884.80, 122,813.46 and 22,726.48

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Solution

The fourth proportional to 81,884.80, 122,813.46 and 22,726.48 is: 34,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.80 : 122,813.46 = 22,726.48 : x
  2. Step 2: Convert to fraction form
    81,884.80/122,813.46 = 22,726.48/x
  3. Step 3: Cross multiply
    81,884.80x = 122,813.46 × 22,726.48
  4. Step 4: Simplify right side
    81,884.80x = 2,791,117,642.42
  5. Step 5: Solve for x
    x = 2,791,117,642.42/81,884.80
  6. Step 6: Final answer
    x = 34,085.91

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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.