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Finding the Fourth Proportional to 54,832, 82,259.52 and 22,000

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Solution

The fourth proportional to 54,832, 82,259.52 and 22,000 is: 33,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832 : 82,259.52 = 22,000 : x
  2. Step 2: Convert to fraction form
    54,832/82,259.52 = 22,000/x
  3. Step 3: Cross multiply
    54,832x = 82,259.52 × 22,000
  4. Step 4: Simplify right side
    54,832x = 1,809,709,440
  5. Step 5: Solve for x
    x = 1,809,709,440/54,832
  6. Step 6: Final answer
    x = 33,004.62

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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.