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Finding the Fourth Proportional to 75,337, 113,002.26 and 22,744.92

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Solution

The fourth proportional to 75,337, 113,002.26 and 22,744.92 is: 34,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,337 : 113,002.26 = 22,744.92 : x
  2. Step 2: Convert to fraction form
    75,337/113,002.26 = 22,744.92/x
  3. Step 3: Cross multiply
    75,337x = 113,002.26 × 22,744.92
  4. Step 4: Simplify right side
    75,337x = 2,570,227,363.52
  5. Step 5: Solve for x
    x = 2,570,227,363.52/75,337
  6. Step 6: Final answer
    x = 34,116.40

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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.