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Finding the Fourth Proportional to 82,203.64, 123,295.82 and 23,044.08

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Solution

The fourth proportional to 82,203.64, 123,295.82 and 23,044.08 is: 34,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.64 : 123,295.82 = 23,044.08 : x
  2. Step 2: Convert to fraction form
    82,203.64/123,295.82 = 23,044.08/x
  3. Step 3: Cross multiply
    82,203.64x = 123,295.82 × 23,044.08
  4. Step 4: Simplify right side
    82,203.64x = 2,841,238,739.75
  5. Step 5: Solve for x
    x = 2,841,238,739.75/82,203.64
  6. Step 6: Final answer
    x = 34,563.42

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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.