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Finding the Fourth Proportional to 73,679.69, 110,541.10 and 23,758.78

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Solution

The fourth proportional to 73,679.69, 110,541.10 and 23,758.78 is: 35,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,679.69 : 110,541.10 = 23,758.78 : x
  2. Step 2: Convert to fraction form
    73,679.69/110,541.10 = 23,758.78/x
  3. Step 3: Cross multiply
    73,679.69x = 110,541.10 × 23,758.78
  4. Step 4: Simplify right side
    73,679.69x = 2,626,321,557.06
  5. Step 5: Solve for x
    x = 2,626,321,557.06/73,679.69
  6. Step 6: Final answer
    x = 35,645.12

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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.