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Finding the Fourth Proportional to 84,470.68, 126,712.86 and 22,141

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Solution

The fourth proportional to 84,470.68, 126,712.86 and 22,141 is: 33,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,470.68 : 126,712.86 = 22,141 : x
  2. Step 2: Convert to fraction form
    84,470.68/126,712.86 = 22,141/x
  3. Step 3: Cross multiply
    84,470.68x = 126,712.86 × 22,141
  4. Step 4: Simplify right side
    84,470.68x = 2,805,549,433.26
  5. Step 5: Solve for x
    x = 2,805,549,433.26/84,470.68
  6. Step 6: Final answer
    x = 33,213.29

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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.