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Finding the Fourth Proportional to 31,803.10, 43,879.38 and 19,878.56

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Solution

The fourth proportional to 31,803.10, 43,879.38 and 19,878.56 is: 27,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.10 : 43,879.38 = 19,878.56 : x
  2. Step 2: Convert to fraction form
    31,803.10/43,879.38 = 19,878.56/x
  3. Step 3: Cross multiply
    31,803.10x = 43,879.38 × 19,878.56
  4. Step 4: Simplify right side
    31,803.10x = 872,258,888.09
  5. Step 5: Solve for x
    x = 872,258,888.09/31,803.10
  6. Step 6: Final answer
    x = 27,426.85

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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.