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Finding the Fourth Proportional to 50,397.96, 69,549.22 and 27,738.58

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Solution

The fourth proportional to 50,397.96, 69,549.22 and 27,738.58 is: 38,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,397.96 : 69,549.22 = 27,738.58 : x
  2. Step 2: Convert to fraction form
    50,397.96/69,549.22 = 27,738.58/x
  3. Step 3: Cross multiply
    50,397.96x = 69,549.22 × 27,738.58
  4. Step 4: Simplify right side
    50,397.96x = 1,929,196,602.91
  5. Step 5: Solve for x
    x = 1,929,196,602.91/50,397.96
  6. Step 6: Final answer
    x = 38,279.26

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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.