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Finding the Fourth Proportional to 51,995.40, 71,734.41 and 34,100.34

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Solution

The fourth proportional to 51,995.40, 71,734.41 and 34,100.34 is: 47,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995.40 : 71,734.41 = 34,100.34 : x
  2. Step 2: Convert to fraction form
    51,995.40/71,734.41 = 34,100.34/x
  3. Step 3: Cross multiply
    51,995.40x = 71,734.41 × 34,100.34
  4. Step 4: Simplify right side
    51,995.40x = 2,446,167,770.70
  5. Step 5: Solve for x
    x = 2,446,167,770.70/51,995.40
  6. Step 6: Final answer
    x = 47,045.85

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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.