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Finding the Fourth Proportional to 69,115.82, 103,670.08 and 34,043.63

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Solution

The fourth proportional to 69,115.82, 103,670.08 and 34,043.63 is: 51,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115.82 : 103,670.08 = 34,043.63 : x
  2. Step 2: Convert to fraction form
    69,115.82/103,670.08 = 34,043.63/x
  3. Step 3: Cross multiply
    69,115.82x = 103,670.08 × 34,043.63
  4. Step 4: Simplify right side
    69,115.82x = 3,529,305,242.13
  5. Step 5: Solve for x
    x = 3,529,305,242.13/69,115.82
  6. Step 6: Final answer
    x = 51,063.64

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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.