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Finding the Fourth Proportional to 83,442.88, 115,047.84 and 55,103.68

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Solution

The fourth proportional to 83,442.88, 115,047.84 and 55,103.68 is: 75,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442.88 : 115,047.84 = 55,103.68 : x
  2. Step 2: Convert to fraction form
    83,442.88/115,047.84 = 55,103.68/x
  3. Step 3: Cross multiply
    83,442.88x = 115,047.84 × 55,103.68
  4. Step 4: Simplify right side
    83,442.88x = 6,339,559,360.05
  5. Step 5: Solve for x
    x = 6,339,559,360.05/83,442.88
  6. Step 6: Final answer
    x = 75,974.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.