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Finding the Fourth Proportional to 71,114.88, 106,695.36 and 34,181.76

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Solution

The fourth proportional to 71,114.88, 106,695.36 and 34,181.76 is: 51,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114.88 : 106,695.36 = 34,181.76 : x
  2. Step 2: Convert to fraction form
    71,114.88/106,695.36 = 34,181.76/x
  3. Step 3: Cross multiply
    71,114.88x = 106,695.36 × 34,181.76
  4. Step 4: Simplify right side
    71,114.88x = 3,647,035,188.63
  5. Step 5: Solve for x
    x = 3,647,035,188.63/71,114.88
  6. Step 6: Final answer
    x = 51,283.71

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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.