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Finding the Fourth Proportional to 45,314.88, 67,873.72 and 21,892

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Solution

The fourth proportional to 45,314.88, 67,873.72 and 21,892 is: 32,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.88 : 67,873.72 = 21,892 : x
  2. Step 2: Convert to fraction form
    45,314.88/67,873.72 = 21,892/x
  3. Step 3: Cross multiply
    45,314.88x = 67,873.72 × 21,892
  4. Step 4: Simplify right side
    45,314.88x = 1,485,891,478.24
  5. Step 5: Solve for x
    x = 1,485,891,478.24/45,314.88
  6. Step 6: Final answer
    x = 32,790.37

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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.