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Finding the Fourth Proportional to 77,493.44, 116,129.16 and 44,144.65

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Solution

The fourth proportional to 77,493.44, 116,129.16 and 44,144.65 is: 66,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.44 : 116,129.16 = 44,144.65 : x
  2. Step 2: Convert to fraction form
    77,493.44/116,129.16 = 44,144.65/x
  3. Step 3: Cross multiply
    77,493.44x = 116,129.16 × 44,144.65
  4. Step 4: Simplify right side
    77,493.44x = 5,126,481,268.16
  5. Step 5: Solve for x
    x = 5,126,481,268.16/77,493.44
  6. Step 6: Final answer
    x = 66,153.74

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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.