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Finding the Fourth Proportional to 50,462.70, 69,635.92 and 27,801.18

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Solution

The fourth proportional to 50,462.70, 69,635.92 and 27,801.18 is: 38,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,462.70 : 69,635.92 = 27,801.18 : x
  2. Step 2: Convert to fraction form
    50,462.70/69,635.92 = 27,801.18/x
  3. Step 3: Cross multiply
    50,462.70x = 69,635.92 × 27,801.18
  4. Step 4: Simplify right side
    50,462.70x = 1,935,960,746.39
  5. Step 5: Solve for x
    x = 1,935,960,746.39/50,462.70
  6. Step 6: Final answer
    x = 38,364.19

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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.