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Finding the Fourth Proportional to 54,215.42, 74,803.05 and 31,239.59

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Solution

The fourth proportional to 54,215.42, 74,803.05 and 31,239.59 is: 43,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,215.42 : 74,803.05 = 31,239.59 : x
  2. Step 2: Convert to fraction form
    54,215.42/74,803.05 = 31,239.59/x
  3. Step 3: Cross multiply
    54,215.42x = 74,803.05 × 31,239.59
  4. Step 4: Simplify right side
    54,215.42x = 2,336,816,238.73
  5. Step 5: Solve for x
    x = 2,336,816,238.73/54,215.42
  6. Step 6: Final answer
    x = 43,102.43

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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.