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Finding the Fourth Proportional to 107,862.49, 161,801.25 and 32,976.87

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Solution

The fourth proportional to 107,862.49, 161,801.25 and 32,976.87 is: 49,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862.49 : 161,801.25 = 32,976.87 : x
  2. Step 2: Convert to fraction form
    107,862.49/161,801.25 = 32,976.87/x
  3. Step 3: Cross multiply
    107,862.49x = 161,801.25 × 32,976.87
  4. Step 4: Simplify right side
    107,862.49x = 5,335,698,966.80
  5. Step 5: Solve for x
    x = 5,335,698,966.80/107,862.49
  6. Step 6: Final answer
    x = 49,467.61

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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.