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Finding the Fourth Proportional to 73,968.08, 110,949.24 and 40,754

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Solution

The fourth proportional to 73,968.08, 110,949.24 and 40,754 is: 61,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968.08 : 110,949.24 = 40,754 : x
  2. Step 2: Convert to fraction form
    73,968.08/110,949.24 = 40,754/x
  3. Step 3: Cross multiply
    73,968.08x = 110,949.24 × 40,754
  4. Step 4: Simplify right side
    73,968.08x = 4,521,625,326.96
  5. Step 5: Solve for x
    x = 4,521,625,326.96/73,968.08
  6. Step 6: Final answer
    x = 61,129.41

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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.