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Finding the Fourth Proportional to 54,647.40, 81,971.10 and 33,911.40

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Solution

The fourth proportional to 54,647.40, 81,971.10 and 33,911.40 is: 50,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.40 : 81,971.10 = 33,911.40 : x
  2. Step 2: Convert to fraction form
    54,647.40/81,971.10 = 33,911.40/x
  3. Step 3: Cross multiply
    54,647.40x = 81,971.10 × 33,911.40
  4. Step 4: Simplify right side
    54,647.40x = 2,779,754,760.54
  5. Step 5: Solve for x
    x = 2,779,754,760.54/54,647.40
  6. Step 6: Final answer
    x = 50,867.10

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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.