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Finding the Fourth Proportional to 50,718.43, 69,967.85 and 32,819.22

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Solution

The fourth proportional to 50,718.43, 69,967.85 and 32,819.22 is: 45,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718.43 : 69,967.85 = 32,819.22 : x
  2. Step 2: Convert to fraction form
    50,718.43/69,967.85 = 32,819.22/x
  3. Step 3: Cross multiply
    50,718.43x = 69,967.85 × 32,819.22
  4. Step 4: Simplify right side
    50,718.43x = 2,296,290,262.08
  5. Step 5: Solve for x
    x = 2,296,290,262.08/50,718.43
  6. Step 6: Final answer
    x = 45,275.26

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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.