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Finding the Fourth Proportional to 49,872, 74,808 and 25,248

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Solution

The fourth proportional to 49,872, 74,808 and 25,248 is: 37,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,872 : 74,808 = 25,248 : x
  2. Step 2: Convert to fraction form
    49,872/74,808 = 25,248/x
  3. Step 3: Cross multiply
    49,872x = 74,808 × 25,248
  4. Step 4: Simplify right side
    49,872x = 1,888,752,384
  5. Step 5: Solve for x
    x = 1,888,752,384/49,872
  6. Step 6: Final answer
    x = 37,872

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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.