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Finding the Fourth Proportional to 54,228.20, 74,834.15 and 30,354.84

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Solution

The fourth proportional to 54,228.20, 74,834.15 and 30,354.84 is: 41,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228.20 : 74,834.15 = 30,354.84 : x
  2. Step 2: Convert to fraction form
    54,228.20/74,834.15 = 30,354.84/x
  3. Step 3: Cross multiply
    54,228.20x = 74,834.15 × 30,354.84
  4. Step 4: Simplify right side
    54,228.20x = 2,271,578,498.01
  5. Step 5: Solve for x
    x = 2,271,578,498.01/54,228.20
  6. Step 6: Final answer
    x = 41,889.25

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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.