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Finding the Fourth Proportional to 48,344, 66,714.96 and 28,214.84

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Solution

The fourth proportional to 48,344, 66,714.96 and 28,214.84 is: 38,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,344 : 66,714.96 = 28,214.84 : x
  2. Step 2: Convert to fraction form
    48,344/66,714.96 = 28,214.84/x
  3. Step 3: Cross multiply
    48,344x = 66,714.96 × 28,214.84
  4. Step 4: Simplify right side
    48,344x = 1,882,351,922.01
  5. Step 5: Solve for x
    x = 1,882,351,922.01/48,344
  6. Step 6: Final answer
    x = 38,936.62

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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.