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Finding the Fourth Proportional to 49,364.99, 68,123.24 and 27,854.89

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Solution

The fourth proportional to 49,364.99, 68,123.24 and 27,854.89 is: 38,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,364.99 : 68,123.24 = 27,854.89 : x
  2. Step 2: Convert to fraction form
    49,364.99/68,123.24 = 27,854.89/x
  3. Step 3: Cross multiply
    49,364.99x = 68,123.24 × 27,854.89
  4. Step 4: Simplify right side
    49,364.99x = 1,897,565,308.20
  5. Step 5: Solve for x
    x = 1,897,565,308.20/49,364.99
  6. Step 6: Final answer
    x = 38,439.49

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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.