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Finding the Fourth Proportional to 84,452.25, 116,549.52 and 48,641.49

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Solution

The fourth proportional to 84,452.25, 116,549.52 and 48,641.49 is: 67,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,452.25 : 116,549.52 = 48,641.49 : x
  2. Step 2: Convert to fraction form
    84,452.25/116,549.52 = 48,641.49/x
  3. Step 3: Cross multiply
    84,452.25x = 116,549.52 × 48,641.49
  4. Step 4: Simplify right side
    84,452.25x = 5,669,142,311.58
  5. Step 5: Solve for x
    x = 5,669,142,311.58/84,452.25
  6. Step 6: Final answer
    x = 67,128.38

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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.