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Finding the Fourth Proportional to 27,165.87, 40,743.27 and 7,442.91

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Solution

The fourth proportional to 27,165.87, 40,743.27 and 7,442.91 is: 11,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.87 : 40,743.27 = 7,442.91 : x
  2. Step 2: Convert to fraction form
    27,165.87/40,743.27 = 7,442.91/x
  3. Step 3: Cross multiply
    27,165.87x = 40,743.27 × 7,442.91
  4. Step 4: Simplify right side
    27,165.87x = 303,248,491.72
  5. Step 5: Solve for x
    x = 303,248,491.72/27,165.87
  6. Step 6: Final answer
    x = 11,162.85

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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.