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Finding the Fourth Proportional to 71,198.76, 106,746.30 and 34,219.56

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Solution

The fourth proportional to 71,198.76, 106,746.30 and 34,219.56 is: 51,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.76 : 106,746.30 = 34,219.56 : x
  2. Step 2: Convert to fraction form
    71,198.76/106,746.30 = 34,219.56/x
  3. Step 3: Cross multiply
    71,198.76x = 106,746.30 × 34,219.56
  4. Step 4: Simplify right side
    71,198.76x = 3,652,811,417.63
  5. Step 5: Solve for x
    x = 3,652,811,417.63/71,198.76
  6. Step 6: Final answer
    x = 51,304.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.