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Finding the Fourth Proportional to 54,228.24, 74,834.22 and 30,354.91

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Solution

The fourth proportional to 54,228.24, 74,834.22 and 30,354.91 is: 41,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228.24 : 74,834.22 = 30,354.91 : x
  2. Step 2: Convert to fraction form
    54,228.24/74,834.22 = 30,354.91/x
  3. Step 3: Cross multiply
    54,228.24x = 74,834.22 × 30,354.91
  4. Step 4: Simplify right side
    54,228.24x = 2,271,586,013.02
  5. Step 5: Solve for x
    x = 2,271,586,013.02/54,228.24
  6. Step 6: Final answer
    x = 41,889.36

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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.