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Finding the Fourth Proportional to 49,604.52, 68,407.38 and 32,578.76

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Solution

The fourth proportional to 49,604.52, 68,407.38 and 32,578.76 is: 44,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604.52 : 68,407.38 = 32,578.76 : x
  2. Step 2: Convert to fraction form
    49,604.52/68,407.38 = 32,578.76/x
  3. Step 3: Cross multiply
    49,604.52x = 68,407.38 × 32,578.76
  4. Step 4: Simplify right side
    49,604.52x = 2,228,627,615.25
  5. Step 5: Solve for x
    x = 2,228,627,615.25/49,604.52
  6. Step 6: Final answer
    x = 44,927.91

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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.