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Finding the Fourth Proportional to 44,408, 61,283.04 and 24,536

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Solution

The fourth proportional to 44,408, 61,283.04 and 24,536 is: 33,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,408 : 61,283.04 = 24,536 : x
  2. Step 2: Convert to fraction form
    44,408/61,283.04 = 24,536/x
  3. Step 3: Cross multiply
    44,408x = 61,283.04 × 24,536
  4. Step 4: Simplify right side
    44,408x = 1,503,640,669.44
  5. Step 5: Solve for x
    x = 1,503,640,669.44/44,408
  6. Step 6: Final answer
    x = 33,859.68

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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.