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Finding the Fourth Proportional to 84,291.64, 116,282.98 and 54,062.44

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Solution

The fourth proportional to 84,291.64, 116,282.98 and 54,062.44 is: 74,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291.64 : 116,282.98 = 54,062.44 : x
  2. Step 2: Convert to fraction form
    84,291.64/116,282.98 = 54,062.44/x
  3. Step 3: Cross multiply
    84,291.64x = 116,282.98 × 54,062.44
  4. Step 4: Simplify right side
    84,291.64x = 6,286,541,629.27
  5. Step 5: Solve for x
    x = 6,286,541,629.27/84,291.64
  6. Step 6: Final answer
    x = 74,580.84

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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.