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Finding the Fourth Proportional to 86,452.02, 129,641.31 and 33,853.14

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Solution

The fourth proportional to 86,452.02, 129,641.31 and 33,853.14 is: 50,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,452.02 : 129,641.31 = 33,853.14 : x
  2. Step 2: Convert to fraction form
    86,452.02/129,641.31 = 33,853.14/x
  3. Step 3: Cross multiply
    86,452.02x = 129,641.31 × 33,853.14
  4. Step 4: Simplify right side
    86,452.02x = 4,388,765,417.21
  5. Step 5: Solve for x
    x = 4,388,765,417.21/86,452.02
  6. Step 6: Final answer
    x = 50,765.33

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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.