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Finding the Fourth Proportional to 51,987.22, 71,766.21 and 34,082.98

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Solution

The fourth proportional to 51,987.22, 71,766.21 and 34,082.98 is: 47,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.22 : 71,766.21 = 34,082.98 : x
  2. Step 2: Convert to fraction form
    51,987.22/71,766.21 = 34,082.98/x
  3. Step 3: Cross multiply
    51,987.22x = 71,766.21 × 34,082.98
  4. Step 4: Simplify right side
    51,987.22x = 2,446,006,300.11
  5. Step 5: Solve for x
    x = 2,446,006,300.11/51,987.22
  6. Step 6: Final answer
    x = 47,050.15

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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.