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Finding the Fourth Proportional to 71,212.97, 106,844.13 and 26,852.45

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Solution

The fourth proportional to 71,212.97, 106,844.13 and 26,852.45 is: 40,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.97 : 106,844.13 = 26,852.45 : x
  2. Step 2: Convert to fraction form
    71,212.97/106,844.13 = 26,852.45/x
  3. Step 3: Cross multiply
    71,212.97x = 106,844.13 × 26,852.45
  4. Step 4: Simplify right side
    71,212.97x = 2,869,026,124.40
  5. Step 5: Solve for x
    x = 2,869,026,124.40/71,212.97
  6. Step 6: Final answer
    x = 40,287.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.