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Finding the Fourth Proportional to 69,642.14, 104,449.36 and 34,088.19

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Solution

The fourth proportional to 69,642.14, 104,449.36 and 34,088.19 is: 51,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642.14 : 104,449.36 = 34,088.19 : x
  2. Step 2: Convert to fraction form
    69,642.14/104,449.36 = 34,088.19/x
  3. Step 3: Cross multiply
    69,642.14x = 104,449.36 × 34,088.19
  4. Step 4: Simplify right side
    69,642.14x = 3,560,488,936.37
  5. Step 5: Solve for x
    x = 3,560,488,936.37/69,642.14
  6. Step 6: Final answer
    x = 51,125.50

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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.