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Finding the Fourth Proportional to 81,754.42, 112,801.39 and 47,743.60

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Solution

The fourth proportional to 81,754.42, 112,801.39 and 47,743.60 is: 65,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.42 : 112,801.39 = 47,743.60 : x
  2. Step 2: Convert to fraction form
    81,754.42/112,801.39 = 47,743.60/x
  3. Step 3: Cross multiply
    81,754.42x = 112,801.39 × 47,743.60
  4. Step 4: Simplify right side
    81,754.42x = 5,385,544,443.60
  5. Step 5: Solve for x
    x = 5,385,544,443.60/81,754.42
  6. Step 6: Final answer
    x = 65,874.66

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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.