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Finding the Fourth Proportional to 45,844.71, 68,772.21 and 41,135.78

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Solution

The fourth proportional to 45,844.71, 68,772.21 and 41,135.78 is: 61,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,844.71 : 68,772.21 = 41,135.78 : x
  2. Step 2: Convert to fraction form
    45,844.71/68,772.21 = 41,135.78/x
  3. Step 3: Cross multiply
    45,844.71x = 68,772.21 × 41,135.78
  4. Step 4: Simplify right side
    45,844.71x = 2,828,998,156.81
  5. Step 5: Solve for x
    x = 2,828,998,156.81/45,844.71
  6. Step 6: Final answer
    x = 61,708.28

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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.