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Finding the Fourth Proportional to 83,009.31, 124,563.39 and 30,422.49

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Solution

The fourth proportional to 83,009.31, 124,563.39 and 30,422.49 is: 45,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.31 : 124,563.39 = 30,422.49 : x
  2. Step 2: Convert to fraction form
    83,009.31/124,563.39 = 30,422.49/x
  3. Step 3: Cross multiply
    83,009.31x = 124,563.39 × 30,422.49
  4. Step 4: Simplify right side
    83,009.31x = 3,789,528,486.64
  5. Step 5: Solve for x
    x = 3,789,528,486.64/83,009.31
  6. Step 6: Final answer
    x = 45,651.85

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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.