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Finding the Fourth Proportional to 47,541, 71,255.82 and 16,348.68

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Solution

The fourth proportional to 47,541, 71,255.82 and 16,348.68 is: 24,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541 : 71,255.82 = 16,348.68 : x
  2. Step 2: Convert to fraction form
    47,541/71,255.82 = 16,348.68/x
  3. Step 3: Cross multiply
    47,541x = 71,255.82 × 16,348.68
  4. Step 4: Simplify right side
    47,541x = 1,164,938,599.32
  5. Step 5: Solve for x
    x = 1,164,938,599.32/47,541
  6. Step 6: Final answer
    x = 24,503.87

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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.