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Finding the Fourth Proportional to 54,763.84, 75,540 and 32,392

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Solution

The fourth proportional to 54,763.84, 75,540 and 32,392 is: 44,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763.84 : 75,540 = 32,392 : x
  2. Step 2: Convert to fraction form
    54,763.84/75,540 = 32,392/x
  3. Step 3: Cross multiply
    54,763.84x = 75,540 × 32,392
  4. Step 4: Simplify right side
    54,763.84x = 2,446,891,680
  5. Step 5: Solve for x
    x = 2,446,891,680/54,763.84
  6. Step 6: Final answer
    x = 44,680.79

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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.