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Finding the Fourth Proportional to 71,758.04, 107,653.44 and 21,845.22

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Solution

The fourth proportional to 71,758.04, 107,653.44 and 21,845.22 is: 32,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758.04 : 107,653.44 = 21,845.22 : x
  2. Step 2: Convert to fraction form
    71,758.04/107,653.44 = 21,845.22/x
  3. Step 3: Cross multiply
    71,758.04x = 107,653.44 × 21,845.22
  4. Step 4: Simplify right side
    71,758.04x = 2,351,713,080.56
  5. Step 5: Solve for x
    x = 2,351,713,080.56/71,758.04
  6. Step 6: Final answer
    x = 32,772.82

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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.