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Finding the Fourth Proportional to 54,369, 75,029.40 and 31,723.56

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Solution

The fourth proportional to 54,369, 75,029.40 and 31,723.56 is: 43,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,369 : 75,029.40 = 31,723.56 : x
  2. Step 2: Convert to fraction form
    54,369/75,029.40 = 31,723.56/x
  3. Step 3: Cross multiply
    54,369x = 75,029.40 × 31,723.56
  4. Step 4: Simplify right side
    54,369x = 2,380,199,672.66
  5. Step 5: Solve for x
    x = 2,380,199,672.66/54,369
  6. Step 6: Final answer
    x = 43,778.62

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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.