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Finding the Fourth Proportional to 31,418.10, 43,390.80 and 19,509.72

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Solution

The fourth proportional to 31,418.10, 43,390.80 and 19,509.72 is: 26,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.10 : 43,390.80 = 19,509.72 : x
  2. Step 2: Convert to fraction form
    31,418.10/43,390.80 = 19,509.72/x
  3. Step 3: Cross multiply
    31,418.10x = 43,390.80 × 19,509.72
  4. Step 4: Simplify right side
    31,418.10x = 846,542,358.58
  5. Step 5: Solve for x
    x = 846,542,358.58/31,418.10
  6. Step 6: Final answer
    x = 26,944.42

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