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Finding the Fourth Proportional to 29,105.38, 40,133.64 and 19,657.54

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Solution

The fourth proportional to 29,105.38, 40,133.64 and 19,657.54 is: 27,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,105.38 : 40,133.64 = 19,657.54 : x
  2. Step 2: Convert to fraction form
    29,105.38/40,133.64 = 19,657.54/x
  3. Step 3: Cross multiply
    29,105.38x = 40,133.64 × 19,657.54
  4. Step 4: Simplify right side
    29,105.38x = 788,928,633.65
  5. Step 5: Solve for x
    x = 788,928,633.65/29,105.38
  6. Step 6: Final answer
    x = 27,105.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.