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Finding the Fourth Proportional to 50,521.78, 69,719.13 and 27,862.86

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Solution

The fourth proportional to 50,521.78, 69,719.13 and 27,862.86 is: 38,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,521.78 : 69,719.13 = 27,862.86 : x
  2. Step 2: Convert to fraction form
    50,521.78/69,719.13 = 27,862.86/x
  3. Step 3: Cross multiply
    50,521.78x = 69,719.13 × 27,862.86
  4. Step 4: Simplify right side
    50,521.78x = 1,942,574,423.87
  5. Step 5: Solve for x
    x = 1,942,574,423.87/50,521.78
  6. Step 6: Final answer
    x = 38,450.24

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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.