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Finding the Fourth Proportional to 73,970.08, 110,952.24 and 40,756

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Solution

The fourth proportional to 73,970.08, 110,952.24 and 40,756 is: 61,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970.08 : 110,952.24 = 40,756 : x
  2. Step 2: Convert to fraction form
    73,970.08/110,952.24 = 40,756/x
  3. Step 3: Cross multiply
    73,970.08x = 110,952.24 × 40,756
  4. Step 4: Simplify right side
    73,970.08x = 4,521,969,493.44
  5. Step 5: Solve for x
    x = 4,521,969,493.44/73,970.08
  6. Step 6: Final answer
    x = 61,132.41

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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.