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Finding the Fourth Proportional to 82,165.88, 123,256.00 and 23,001.72

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Solution

The fourth proportional to 82,165.88, 123,256.00 and 23,001.72 is: 34,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.88 : 123,256.00 = 23,001.72 : x
  2. Step 2: Convert to fraction form
    82,165.88/123,256.00 = 23,001.72/x
  3. Step 3: Cross multiply
    82,165.88x = 123,256.00 × 23,001.72
  4. Step 4: Simplify right side
    82,165.88x = 2,835,099,566.86
  5. Step 5: Solve for x
    x = 2,835,099,566.86/82,165.88
  6. Step 6: Final answer
    x = 34,504.58

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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.