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Finding the Fourth Proportional to 69,138.76, 103,682.22 and 34,094.92

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Solution

The fourth proportional to 69,138.76, 103,682.22 and 34,094.92 is: 51,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.76 : 103,682.22 = 34,094.92 : x
  2. Step 2: Convert to fraction form
    69,138.76/103,682.22 = 34,094.92/x
  3. Step 3: Cross multiply
    69,138.76x = 103,682.22 × 34,094.92
  4. Step 4: Simplify right side
    69,138.76x = 3,535,036,996.32
  5. Step 5: Solve for x
    x = 3,535,036,996.32/69,138.76
  6. Step 6: Final answer
    x = 51,129.60

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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.