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Finding the Fourth Proportional to 83,184.82, 114,795.01 and 47,374.85

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Solution

The fourth proportional to 83,184.82, 114,795.01 and 47,374.85 is: 65,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184.82 : 114,795.01 = 47,374.85 : x
  2. Step 2: Convert to fraction form
    83,184.82/114,795.01 = 47,374.85/x
  3. Step 3: Cross multiply
    83,184.82x = 114,795.01 × 47,374.85
  4. Step 4: Simplify right side
    83,184.82x = 5,438,396,379.50
  5. Step 5: Solve for x
    x = 5,438,396,379.50/83,184.82
  6. Step 6: Final answer
    x = 65,377.27

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Why These Related Problems?

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