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Finding the Fourth Proportional to 81,537.93, 122,293.77 and 22,359.87

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Solution

The fourth proportional to 81,537.93, 122,293.77 and 22,359.87 is: 33,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,537.93 : 122,293.77 = 22,359.87 : x
  2. Step 2: Convert to fraction form
    81,537.93/122,293.77 = 22,359.87/x
  3. Step 3: Cross multiply
    81,537.93x = 122,293.77 × 22,359.87
  4. Step 4: Simplify right side
    81,537.93x = 2,734,472,799.01
  5. Step 5: Solve for x
    x = 2,734,472,799.01/81,537.93
  6. Step 6: Final answer
    x = 33,536.21

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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.