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Finding the Fourth Proportional to 34,893.53, 48,142.21 and 19,785

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Solution

The fourth proportional to 34,893.53, 48,142.21 and 19,785 is: 27,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,893.53 : 48,142.21 = 19,785 : x
  2. Step 2: Convert to fraction form
    34,893.53/48,142.21 = 19,785/x
  3. Step 3: Cross multiply
    34,893.53x = 48,142.21 × 19,785
  4. Step 4: Simplify right side
    34,893.53x = 952,493,624.85
  5. Step 5: Solve for x
    x = 952,493,624.85/34,893.53
  6. Step 6: Final answer
    x = 27,297.14

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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.