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Finding the Fourth Proportional to 81,546.38, 112,534.20 and 47,578.22

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Solution

The fourth proportional to 81,546.38, 112,534.20 and 47,578.22 is: 65,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546.38 : 112,534.20 = 47,578.22 : x
  2. Step 2: Convert to fraction form
    81,546.38/112,534.20 = 47,578.22/x
  3. Step 3: Cross multiply
    81,546.38x = 112,534.20 × 47,578.22
  4. Step 4: Simplify right side
    81,546.38x = 5,354,176,362.45
  5. Step 5: Solve for x
    x = 5,354,176,362.45/81,546.38
  6. Step 6: Final answer
    x = 65,658.05

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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.