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Finding the Fourth Proportional to 84,462.66, 116,452.62 and 54,194.58

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Solution

The fourth proportional to 84,462.66, 116,452.62 and 54,194.58 is: 74,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462.66 : 116,452.62 = 54,194.58 : x
  2. Step 2: Convert to fraction form
    84,462.66/116,452.62 = 54,194.58/x
  3. Step 3: Cross multiply
    84,462.66x = 116,452.62 × 54,194.58
  4. Step 4: Simplify right side
    84,462.66x = 6,311,100,830.80
  5. Step 5: Solve for x
    x = 6,311,100,830.80/84,462.66
  6. Step 6: Final answer
    x = 74,720.60

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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.