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Finding the Fourth Proportional to 50,471.76, 75,718.44 and 15,414

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Solution

The fourth proportional to 50,471.76, 75,718.44 and 15,414 is: 23,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.76 : 75,718.44 = 15,414 : x
  2. Step 2: Convert to fraction form
    50,471.76/75,718.44 = 15,414/x
  3. Step 3: Cross multiply
    50,471.76x = 75,718.44 × 15,414
  4. Step 4: Simplify right side
    50,471.76x = 1,167,124,034.16
  5. Step 5: Solve for x
    x = 1,167,124,034.16/50,471.76
  6. Step 6: Final answer
    x = 23,124.30

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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.