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Finding the Fourth Proportional to 48,972.88, 67,584 and 27,751.44

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Solution

The fourth proportional to 48,972.88, 67,584 and 27,751.44 is: 38,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972.88 : 67,584 = 27,751.44 : x
  2. Step 2: Convert to fraction form
    48,972.88/67,584 = 27,751.44/x
  3. Step 3: Cross multiply
    48,972.88x = 67,584 × 27,751.44
  4. Step 4: Simplify right side
    48,972.88x = 1,875,553,320.96
  5. Step 5: Solve for x
    x = 1,875,553,320.96/48,972.88
  6. Step 6: Final answer
    x = 38,297.80

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1.5x scale

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.