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Finding the Fourth Proportional to 54,672.93, 81,994.67 and 23,083.20

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Solution

The fourth proportional to 54,672.93, 81,994.67 and 23,083.20 is: 34,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672.93 : 81,994.67 = 23,083.20 : x
  2. Step 2: Convert to fraction form
    54,672.93/81,994.67 = 23,083.20/x
  3. Step 3: Cross multiply
    54,672.93x = 81,994.67 × 23,083.20
  4. Step 4: Simplify right side
    54,672.93x = 1,892,699,251.13
  5. Step 5: Solve for x
    x = 1,892,699,251.13/54,672.93
  6. Step 6: Final answer
    x = 34,618.58

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Why These Related Problems?

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