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Finding the Fourth Proportional to 72,791.90, 109,195.74 and 22,873.62

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Solution

The fourth proportional to 72,791.90, 109,195.74 and 22,873.62 is: 34,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791.90 : 109,195.74 = 22,873.62 : x
  2. Step 2: Convert to fraction form
    72,791.90/109,195.74 = 22,873.62/x
  3. Step 3: Cross multiply
    72,791.90x = 109,195.74 × 22,873.62
  4. Step 4: Simplify right side
    72,791.90x = 2,497,701,862.38
  5. Step 5: Solve for x
    x = 2,497,701,862.38/72,791.90
  6. Step 6: Final answer
    x = 34,312.91

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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.