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Finding the Fourth Proportional to 86,542.68, 129,758.22 and 33,957.48

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Solution

The fourth proportional to 86,542.68, 129,758.22 and 33,957.48 is: 50,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542.68 : 129,758.22 = 33,957.48 : x
  2. Step 2: Convert to fraction form
    86,542.68/129,758.22 = 33,957.48/x
  3. Step 3: Cross multiply
    86,542.68x = 129,758.22 × 33,957.48
  4. Step 4: Simplify right side
    86,542.68x = 4,406,262,160.49
  5. Step 5: Solve for x
    x = 4,406,262,160.49/86,542.68
  6. Step 6: Final answer
    x = 50,914.33

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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.