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Finding the Fourth Proportional to 54,822, 82,244.52 and 21,990

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Solution

The fourth proportional to 54,822, 82,244.52 and 21,990 is: 32,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822 : 82,244.52 = 21,990 : x
  2. Step 2: Convert to fraction form
    54,822/82,244.52 = 21,990/x
  3. Step 3: Cross multiply
    54,822x = 82,244.52 × 21,990
  4. Step 4: Simplify right side
    54,822x = 1,808,556,994.80
  5. Step 5: Solve for x
    x = 1,808,556,994.80/54,822
  6. Step 6: Final answer
    x = 32,989.62

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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.