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Finding the Fourth Proportional to 54,047.24, 81,071.10 and 16,607

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Solution

The fourth proportional to 54,047.24, 81,071.10 and 16,607 is: 24,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,047.24 : 81,071.10 = 16,607 : x
  2. Step 2: Convert to fraction form
    54,047.24/81,071.10 = 16,607/x
  3. Step 3: Cross multiply
    54,047.24x = 81,071.10 × 16,607
  4. Step 4: Simplify right side
    54,047.24x = 1,346,347,757.70
  5. Step 5: Solve for x
    x = 1,346,347,757.70/54,047.24
  6. Step 6: Final answer
    x = 24,910.57

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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.