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Finding the Fourth Proportional to 50,482, 75,732.76 and 22,780

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Solution

The fourth proportional to 50,482, 75,732.76 and 22,780 is: 34,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482 : 75,732.76 = 22,780 : x
  2. Step 2: Convert to fraction form
    50,482/75,732.76 = 22,780/x
  3. Step 3: Cross multiply
    50,482x = 75,732.76 × 22,780
  4. Step 4: Simplify right side
    50,482x = 1,725,192,272.80
  5. Step 5: Solve for x
    x = 1,725,192,272.80/50,482
  6. Step 6: Final answer
    x = 34,174.40

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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.