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Finding the Fourth Proportional to 83,427.67, 115,132.02 and 47,616.94

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Solution

The fourth proportional to 83,427.67, 115,132.02 and 47,616.94 is: 65,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.67 : 115,132.02 = 47,616.94 : x
  2. Step 2: Convert to fraction form
    83,427.67/115,132.02 = 47,616.94/x
  3. Step 3: Cross multiply
    83,427.67x = 115,132.02 × 47,616.94
  4. Step 4: Simplify right side
    83,427.67x = 5,482,234,488.42
  5. Step 5: Solve for x
    x = 5,482,234,488.42/83,427.67
  6. Step 6: Final answer
    x = 65,712.42

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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.