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Finding the Fourth Proportional to 74,772, 112,175.84 and 25,524

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Solution

The fourth proportional to 74,772, 112,175.84 and 25,524 is: 38,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 112,175.84 = 25,524 : x
  2. Step 2: Convert to fraction form
    74,772/112,175.84 = 25,524/x
  3. Step 3: Cross multiply
    74,772x = 112,175.84 × 25,524
  4. Step 4: Simplify right side
    74,772x = 2,863,176,140.16
  5. Step 5: Solve for x
    x = 2,863,176,140.16/74,772
  6. Step 6: Final answer
    x = 38,292.09

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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.