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Finding the Fourth Proportional to 36,182.46, 49,956.16 and 22,591.20

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Solution

The fourth proportional to 36,182.46, 49,956.16 and 22,591.20 is: 31,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182.46 : 49,956.16 = 22,591.20 : x
  2. Step 2: Convert to fraction form
    36,182.46/49,956.16 = 22,591.20/x
  3. Step 3: Cross multiply
    36,182.46x = 49,956.16 × 22,591.20
  4. Step 4: Simplify right side
    36,182.46x = 1,128,569,533.38
  5. Step 5: Solve for x
    x = 1,128,569,533.38/36,182.46
  6. Step 6: Final answer
    x = 31,191.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.