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Finding the Fourth Proportional to 76,863, 115,297.96 and 23,551.08

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Solution

The fourth proportional to 76,863, 115,297.96 and 23,551.08 is: 35,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863 : 115,297.96 = 23,551.08 : x
  2. Step 2: Convert to fraction form
    76,863/115,297.96 = 23,551.08/x
  3. Step 3: Cross multiply
    76,863x = 115,297.96 × 23,551.08
  4. Step 4: Simplify right side
    76,863x = 2,715,391,479.80
  5. Step 5: Solve for x
    x = 2,715,391,479.80/76,863
  6. Step 6: Final answer
    x = 35,327.68

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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.