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Finding the Fourth Proportional to 81,843.46, 112,454.47 and 65,047.30

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Solution

The fourth proportional to 81,843.46, 112,454.47 and 65,047.30 is: 89,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.46 : 112,454.47 = 65,047.30 : x
  2. Step 2: Convert to fraction form
    81,843.46/112,454.47 = 65,047.30/x
  3. Step 3: Cross multiply
    81,843.46x = 112,454.47 × 65,047.30
  4. Step 4: Simplify right side
    81,843.46x = 7,314,859,646.43
  5. Step 5: Solve for x
    x = 7,314,859,646.43/81,843.46
  6. Step 6: Final answer
    x = 89,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.