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Finding the Fourth Proportional to 98,443.20, 147,684.24 and 36,114.24

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Solution

The fourth proportional to 98,443.20, 147,684.24 and 36,114.24 is: 54,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443.20 : 147,684.24 = 36,114.24 : x
  2. Step 2: Convert to fraction form
    98,443.20/147,684.24 = 36,114.24/x
  3. Step 3: Cross multiply
    98,443.20x = 147,684.24 × 36,114.24
  4. Step 4: Simplify right side
    98,443.20x = 5,333,504,087.58
  5. Step 5: Solve for x
    x = 5,333,504,087.58/98,443.20
  6. Step 6: Final answer
    x = 54,178.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.