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Finding the Fourth Proportional to 81,247.96, 121,871.76 and 22,092.22

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Solution

The fourth proportional to 81,247.96, 121,871.76 and 22,092.22 is: 33,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,247.96 : 121,871.76 = 22,092.22 : x
  2. Step 2: Convert to fraction form
    81,247.96/121,871.76 = 22,092.22/x
  3. Step 3: Cross multiply
    81,247.96x = 121,871.76 × 22,092.22
  4. Step 4: Simplify right side
    81,247.96x = 2,692,417,733.71
  5. Step 5: Solve for x
    x = 2,692,417,733.71/81,247.96
  6. Step 6: Final answer
    x = 33,138.28

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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.