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Finding the Fourth Proportional to 54,478.14, 81,699.21 and 17,533.50

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Solution

The fourth proportional to 54,478.14, 81,699.21 and 17,533.50 is: 26,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.14 : 81,699.21 = 17,533.50 : x
  2. Step 2: Convert to fraction form
    54,478.14/81,699.21 = 17,533.50/x
  3. Step 3: Cross multiply
    54,478.14x = 81,699.21 × 17,533.50
  4. Step 4: Simplify right side
    54,478.14x = 1,432,473,098.54
  5. Step 5: Solve for x
    x = 1,432,473,098.54/54,478.14
  6. Step 6: Final answer
    x = 26,294.46

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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.