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Finding the Fourth Proportional to 50,369.74, 69,508.82 and 27,708.72

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Solution

The fourth proportional to 50,369.74, 69,508.82 and 27,708.72 is: 38,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,369.74 : 69,508.82 = 27,708.72 : x
  2. Step 2: Convert to fraction form
    50,369.74/69,508.82 = 27,708.72/x
  3. Step 3: Cross multiply
    50,369.74x = 69,508.82 × 27,708.72
  4. Step 4: Simplify right side
    50,369.74x = 1,926,000,430.91
  5. Step 5: Solve for x
    x = 1,926,000,430.91/50,369.74
  6. Step 6: Final answer
    x = 38,237.25

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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.