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Finding the Fourth Proportional to 77,761.71, 116,618.22 and 25,160.31

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Solution

The fourth proportional to 77,761.71, 116,618.22 and 25,160.31 is: 37,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.71 : 116,618.22 = 25,160.31 : x
  2. Step 2: Convert to fraction form
    77,761.71/116,618.22 = 25,160.31/x
  3. Step 3: Cross multiply
    77,761.71x = 116,618.22 × 25,160.31
  4. Step 4: Simplify right side
    77,761.71x = 2,934,150,566.85
  5. Step 5: Solve for x
    x = 2,934,150,566.85/77,761.71
  6. Step 6: Final answer
    x = 37,732.59

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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.