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Finding the Fourth Proportional to 58,102.70, 80,187 and 34,217.42

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Solution

The fourth proportional to 58,102.70, 80,187 and 34,217.42 is: 47,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,102.70 : 80,187 = 34,217.42 : x
  2. Step 2: Convert to fraction form
    58,102.70/80,187 = 34,217.42/x
  3. Step 3: Cross multiply
    58,102.70x = 80,187 × 34,217.42
  4. Step 4: Simplify right side
    58,102.70x = 2,743,792,257.54
  5. Step 5: Solve for x
    x = 2,743,792,257.54/58,102.70
  6. Step 6: Final answer
    x = 47,223.15

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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.