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Finding the Fourth Proportional to 75,524.66, 113,279.66 and 22,934.60

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Solution

The fourth proportional to 75,524.66, 113,279.66 and 22,934.60 is: 34,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524.66 : 113,279.66 = 22,934.60 : x
  2. Step 2: Convert to fraction form
    75,524.66/113,279.66 = 22,934.60/x
  3. Step 3: Cross multiply
    75,524.66x = 113,279.66 × 22,934.60
  4. Step 4: Simplify right side
    75,524.66x = 2,598,023,690.24
  5. Step 5: Solve for x
    x = 2,598,023,690.24/75,524.66
  6. Step 6: Final answer
    x = 34,399.67

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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.