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Finding the Fourth Proportional to 81,514.49, 122,263.54 and 22,356.11

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Solution

The fourth proportional to 81,514.49, 122,263.54 and 22,356.11 is: 33,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,514.49 : 122,263.54 = 22,356.11 : x
  2. Step 2: Convert to fraction form
    81,514.49/122,263.54 = 22,356.11/x
  3. Step 3: Cross multiply
    81,514.49x = 122,263.54 × 22,356.11
  4. Step 4: Simplify right side
    81,514.49x = 2,733,337,149.23
  5. Step 5: Solve for x
    x = 2,733,337,149.23/81,514.49
  6. Step 6: Final answer
    x = 33,531.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.