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Finding the Fourth Proportional to 50,713.78, 69,986.27 and 28,053.21

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Solution

The fourth proportional to 50,713.78, 69,986.27 and 28,053.21 is: 38,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,713.78 : 69,986.27 = 28,053.21 : x
  2. Step 2: Convert to fraction form
    50,713.78/69,986.27 = 28,053.21/x
  3. Step 3: Cross multiply
    50,713.78x = 69,986.27 × 28,053.21
  4. Step 4: Simplify right side
    50,713.78x = 1,963,339,467.92
  5. Step 5: Solve for x
    x = 1,963,339,467.92/50,713.78
  6. Step 6: Final answer
    x = 38,714.12

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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.