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Finding the Fourth Proportional to 54,072.48, 74,637.84 and 31,716

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Solution

The fourth proportional to 54,072.48, 74,637.84 and 31,716 is: 43,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.48 : 74,637.84 = 31,716 : x
  2. Step 2: Convert to fraction form
    54,072.48/74,637.84 = 31,716/x
  3. Step 3: Cross multiply
    54,072.48x = 74,637.84 × 31,716
  4. Step 4: Simplify right side
    54,072.48x = 2,367,213,733.44
  5. Step 5: Solve for x
    x = 2,367,213,733.44/54,072.48
  6. Step 6: Final answer
    x = 43,778.53

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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.