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Finding the Fourth Proportional to 48,947.71, 67,488.74 and 41,380.69

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Solution

The fourth proportional to 48,947.71, 67,488.74 and 41,380.69 is: 57,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947.71 : 67,488.74 = 41,380.69 : x
  2. Step 2: Convert to fraction form
    48,947.71/67,488.74 = 41,380.69/x
  3. Step 3: Cross multiply
    48,947.71x = 67,488.74 × 41,380.69
  4. Step 4: Simplify right side
    48,947.71x = 2,792,730,252.81
  5. Step 5: Solve for x
    x = 2,792,730,252.81/48,947.71
  6. Step 6: Final answer
    x = 57,055.38

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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.