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Finding the Fourth Proportional to 75,404.20, 113,091.90 and 22,815.40

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Solution

The fourth proportional to 75,404.20, 113,091.90 and 22,815.40 is: 34,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,404.20 : 113,091.90 = 22,815.40 : x
  2. Step 2: Convert to fraction form
    75,404.20/113,091.90 = 22,815.40/x
  3. Step 3: Cross multiply
    75,404.20x = 113,091.90 × 22,815.40
  4. Step 4: Simplify right side
    75,404.20x = 2,580,236,935.26
  5. Step 5: Solve for x
    x = 2,580,236,935.26/75,404.20
  6. Step 6: Final answer
    x = 34,218.74

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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.