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Finding the Fourth Proportional to 34,998, 48,297.24 and 20,096.88

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Solution

The fourth proportional to 34,998, 48,297.24 and 20,096.88 is: 27,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 48,297.24 = 20,096.88 : x
  2. Step 2: Convert to fraction form
    34,998/48,297.24 = 20,096.88/x
  3. Step 3: Cross multiply
    34,998x = 48,297.24 × 20,096.88
  4. Step 4: Simplify right side
    34,998x = 970,623,836.61
  5. Step 5: Solve for x
    x = 970,623,836.61/34,998
  6. Step 6: Final answer
    x = 27,733.69

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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.