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Finding the Fourth Proportional to 34,105.82, 47,065.95 and 23,911.82

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Solution

The fourth proportional to 34,105.82, 47,065.95 and 23,911.82 is: 32,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.82 : 47,065.95 = 23,911.82 : x
  2. Step 2: Convert to fraction form
    34,105.82/47,065.95 = 23,911.82/x
  3. Step 3: Cross multiply
    34,105.82x = 47,065.95 × 23,911.82
  4. Step 4: Simplify right side
    34,105.82x = 1,125,432,524.53
  5. Step 5: Solve for x
    x = 1,125,432,524.53/34,105.82
  6. Step 6: Final answer
    x = 32,998.25

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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.