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Finding the Fourth Proportional to 41,052.24, 56,649.24 and 24,282

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Solution

The fourth proportional to 41,052.24, 56,649.24 and 24,282 is: 33,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,052.24 : 56,649.24 = 24,282 : x
  2. Step 2: Convert to fraction form
    41,052.24/56,649.24 = 24,282/x
  3. Step 3: Cross multiply
    41,052.24x = 56,649.24 × 24,282
  4. Step 4: Simplify right side
    41,052.24x = 1,375,556,845.68
  5. Step 5: Solve for x
    x = 1,375,556,845.68/41,052.24
  6. Step 6: Final answer
    x = 33,507.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.