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Finding the Fourth Proportional to 54,223.48, 74,824.32 and 33,000.40

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Solution

The fourth proportional to 54,223.48, 74,824.32 and 33,000.40 is: 45,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,223.48 : 74,824.32 = 33,000.40 : x
  2. Step 2: Convert to fraction form
    54,223.48/74,824.32 = 33,000.40/x
  3. Step 3: Cross multiply
    54,223.48x = 74,824.32 × 33,000.40
  4. Step 4: Simplify right side
    54,223.48x = 2,469,232,489.73
  5. Step 5: Solve for x
    x = 2,469,232,489.73/54,223.48
  6. Step 6: Final answer
    x = 45,538.07

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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.