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Finding the Fourth Proportional to 84,596.68, 116,712.04 and 54,398.65

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Solution

The fourth proportional to 84,596.68, 116,712.04 and 54,398.65 is: 75,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596.68 : 116,712.04 = 54,398.65 : x
  2. Step 2: Convert to fraction form
    84,596.68/116,712.04 = 54,398.65/x
  3. Step 3: Cross multiply
    84,596.68x = 116,712.04 × 54,398.65
  4. Step 4: Simplify right side
    84,596.68x = 6,348,977,414.75
  5. Step 5: Solve for x
    x = 6,348,977,414.75/84,596.68
  6. Step 6: Final answer
    x = 75,049.96

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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.