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Finding the Fourth Proportional to 49,027.64, 67,660.76 and 27,813.72

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Solution

The fourth proportional to 49,027.64, 67,660.76 and 27,813.72 is: 38,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,027.64 : 67,660.76 = 27,813.72 : x
  2. Step 2: Convert to fraction form
    49,027.64/67,660.76 = 27,813.72/x
  3. Step 3: Cross multiply
    49,027.64x = 67,660.76 × 27,813.72
  4. Step 4: Simplify right side
    49,027.64x = 1,881,897,433.63
  5. Step 5: Solve for x
    x = 1,881,897,433.63/49,027.64
  6. Step 6: Final answer
    x = 38,384.42

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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.