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Finding the Fourth Proportional to 54,003, 74,524.14 and 31,647

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Solution

The fourth proportional to 54,003, 74,524.14 and 31,647 is: 43,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,003 : 74,524.14 = 31,647 : x
  2. Step 2: Convert to fraction form
    54,003/74,524.14 = 31,647/x
  3. Step 3: Cross multiply
    54,003x = 74,524.14 × 31,647
  4. Step 4: Simplify right side
    54,003x = 2,358,465,458.58
  5. Step 5: Solve for x
    x = 2,358,465,458.58/54,003
  6. Step 6: Final answer
    x = 43,672.86

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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.