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Finding the Fourth Proportional to 84,414.80, 116,488.64 and 48,597.20

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Solution

The fourth proportional to 84,414.80, 116,488.64 and 48,597.20 is: 67,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,414.80 : 116,488.64 = 48,597.20 : x
  2. Step 2: Convert to fraction form
    84,414.80/116,488.64 = 48,597.20/x
  3. Step 3: Cross multiply
    84,414.80x = 116,488.64 × 48,597.20
  4. Step 4: Simplify right side
    84,414.80x = 5,661,021,735.81
  5. Step 5: Solve for x
    x = 5,661,021,735.81/84,414.80
  6. Step 6: Final answer
    x = 67,061.96

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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.