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Finding the Fourth Proportional to 54,534.30, 81,740.70 and 21,243.30

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Solution

The fourth proportional to 54,534.30, 81,740.70 and 21,243.30 is: 31,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534.30 : 81,740.70 = 21,243.30 : x
  2. Step 2: Convert to fraction form
    54,534.30/81,740.70 = 21,243.30/x
  3. Step 3: Cross multiply
    54,534.30x = 81,740.70 × 21,243.30
  4. Step 4: Simplify right side
    54,534.30x = 1,736,442,212.31
  5. Step 5: Solve for x
    x = 1,736,442,212.31/54,534.30
  6. Step 6: Final answer
    x = 31,841.29

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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.