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Finding the Fourth Proportional to 75,016.20, 112,509.90 and 22,427.40

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Solution

The fourth proportional to 75,016.20, 112,509.90 and 22,427.40 is: 33,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016.20 : 112,509.90 = 22,427.40 : x
  2. Step 2: Convert to fraction form
    75,016.20/112,509.90 = 22,427.40/x
  3. Step 3: Cross multiply
    75,016.20x = 112,509.90 × 22,427.40
  4. Step 4: Simplify right side
    75,016.20x = 2,523,304,531.26
  5. Step 5: Solve for x
    x = 2,523,304,531.26/75,016.20
  6. Step 6: Final answer
    x = 33,636.79

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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.