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Finding the Fourth Proportional to 81,287.94, 111,928.08 and 71,159.70

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Solution

The fourth proportional to 81,287.94, 111,928.08 and 71,159.70 is: 97,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,287.94 : 111,928.08 = 71,159.70 : x
  2. Step 2: Convert to fraction form
    81,287.94/111,928.08 = 71,159.70/x
  3. Step 3: Cross multiply
    81,287.94x = 111,928.08 × 71,159.70
  4. Step 4: Simplify right side
    81,287.94x = 7,964,768,594.38
  5. Step 5: Solve for x
    x = 7,964,768,594.38/81,287.94
  6. Step 6: Final answer
    x = 97,982.17

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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.