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Finding the Fourth Proportional to 77,321.76, 116,177.04 and 49,254.44

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Solution

The fourth proportional to 77,321.76, 116,177.04 and 49,254.44 is: 74,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,321.76 : 116,177.04 = 49,254.44 : x
  2. Step 2: Convert to fraction form
    77,321.76/116,177.04 = 49,254.44/x
  3. Step 3: Cross multiply
    77,321.76x = 116,177.04 × 49,254.44
  4. Step 4: Simplify right side
    77,321.76x = 5,722,235,046.06
  5. Step 5: Solve for x
    x = 5,722,235,046.06/77,321.76
  6. Step 6: Final answer
    x = 74,005.49

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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.