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Finding the Fourth Proportional to 44,672.31, 61,648.44 and 24,531

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Solution

The fourth proportional to 44,672.31, 61,648.44 and 24,531 is: 33,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,672.31 : 61,648.44 = 24,531 : x
  2. Step 2: Convert to fraction form
    44,672.31/61,648.44 = 24,531/x
  3. Step 3: Cross multiply
    44,672.31x = 61,648.44 × 24,531
  4. Step 4: Simplify right side
    44,672.31x = 1,512,297,881.64
  5. Step 5: Solve for x
    x = 1,512,297,881.64/44,672.31
  6. Step 6: Final answer
    x = 33,853.14

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Why These Related Problems?

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