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Finding the Fourth Proportional to 41,278.28, 61,917.42 and 16,637

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Solution

The fourth proportional to 41,278.28, 61,917.42 and 16,637 is: 24,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,278.28 : 61,917.42 = 16,637 : x
  2. Step 2: Convert to fraction form
    41,278.28/61,917.42 = 16,637/x
  3. Step 3: Cross multiply
    41,278.28x = 61,917.42 × 16,637
  4. Step 4: Simplify right side
    41,278.28x = 1,030,120,116.54
  5. Step 5: Solve for x
    x = 1,030,120,116.54/41,278.28
  6. Step 6: Final answer
    x = 24,955.50

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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.