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Finding the Fourth Proportional to 50,552.64, 75,843.54 and 15,497.46

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Solution

The fourth proportional to 50,552.64, 75,843.54 and 15,497.46 is: 23,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,552.64 : 75,843.54 = 15,497.46 : x
  2. Step 2: Convert to fraction form
    50,552.64/75,843.54 = 15,497.46/x
  3. Step 3: Cross multiply
    50,552.64x = 75,843.54 × 15,497.46
  4. Step 4: Simplify right side
    50,552.64x = 1,175,382,227.41
  5. Step 5: Solve for x
    x = 1,175,382,227.41/50,552.64
  6. Step 6: Final answer
    x = 23,250.66

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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.