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Finding the Fourth Proportional to 49,343.32, 68,089.38 and 27,834.64

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Solution

The fourth proportional to 49,343.32, 68,089.38 and 27,834.64 is: 38,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343.32 : 68,089.38 = 27,834.64 : x
  2. Step 2: Convert to fraction form
    49,343.32/68,089.38 = 27,834.64/x
  3. Step 3: Cross multiply
    49,343.32x = 68,089.38 × 27,834.64
  4. Step 4: Simplify right side
    49,343.32x = 1,895,243,380.12
  5. Step 5: Solve for x
    x = 1,895,243,380.12/49,343.32
  6. Step 6: Final answer
    x = 38,409.32

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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.