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Finding the Fourth Proportional to 33,143.76, 49,715.64 and 22,723.92

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Solution

The fourth proportional to 33,143.76, 49,715.64 and 22,723.92 is: 34,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.76 : 49,715.64 = 22,723.92 : x
  2. Step 2: Convert to fraction form
    33,143.76/49,715.64 = 22,723.92/x
  3. Step 3: Cross multiply
    33,143.76x = 49,715.64 × 22,723.92
  4. Step 4: Simplify right side
    33,143.76x = 1,129,734,226.11
  5. Step 5: Solve for x
    x = 1,129,734,226.11/33,143.76
  6. Step 6: Final answer
    x = 34,085.88

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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.