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Finding the Fourth Proportional to 77,965.71, 116,957.72 and 27,349.27

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Solution

The fourth proportional to 77,965.71, 116,957.72 and 27,349.27 is: 41,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.71 : 116,957.72 = 27,349.27 : x
  2. Step 2: Convert to fraction form
    77,965.71/116,957.72 = 27,349.27/x
  3. Step 3: Cross multiply
    77,965.71x = 116,957.72 × 27,349.27
  4. Step 4: Simplify right side
    77,965.71x = 3,198,708,367.79
  5. Step 5: Solve for x
    x = 3,198,708,367.79/77,965.71
  6. Step 6: Final answer
    x = 41,027.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.