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Finding the Fourth Proportional to 69,234.33, 103,807.14 and 29,242.47

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Solution

The fourth proportional to 69,234.33, 103,807.14 and 29,242.47 is: 43,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,234.33 : 103,807.14 = 29,242.47 : x
  2. Step 2: Convert to fraction form
    69,234.33/103,807.14 = 29,242.47/x
  3. Step 3: Cross multiply
    69,234.33x = 103,807.14 × 29,242.47
  4. Step 4: Simplify right side
    69,234.33x = 3,035,577,177.24
  5. Step 5: Solve for x
    x = 3,035,577,177.24/69,234.33
  6. Step 6: Final answer
    x = 43,844.97

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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.