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Finding the Fourth Proportional to 81,549.67, 122,224.10 and 38,877.58

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Solution

The fourth proportional to 81,549.67, 122,224.10 and 38,877.58 is: 58,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,549.67 : 122,224.10 = 38,877.58 : x
  2. Step 2: Convert to fraction form
    81,549.67/122,224.10 = 38,877.58/x
  3. Step 3: Cross multiply
    81,549.67x = 122,224.10 × 38,877.58
  4. Step 4: Simplify right side
    81,549.67x = 4,751,777,017.31
  5. Step 5: Solve for x
    x = 4,751,777,017.31/81,549.67
  6. Step 6: Final answer
    x = 58,268.50

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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.