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Finding the Fourth Proportional to 34,682.25, 47,861.51 and 19,778.25

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Solution

The fourth proportional to 34,682.25, 47,861.51 and 19,778.25 is: 27,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.25 : 47,861.51 = 19,778.25 : x
  2. Step 2: Convert to fraction form
    34,682.25/47,861.51 = 19,778.25/x
  3. Step 3: Cross multiply
    34,682.25x = 47,861.51 × 19,778.25
  4. Step 4: Simplify right side
    34,682.25x = 946,616,811.27
  5. Step 5: Solve for x
    x = 946,616,811.27/34,682.25
  6. Step 6: Final answer
    x = 27,293.99

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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.