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Finding the Fourth Proportional to 109,566.93, 164,375.03 and 34,691.55

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Solution

The fourth proportional to 109,566.93, 164,375.03 and 34,691.55 is: 52,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,566.93 : 164,375.03 = 34,691.55 : x
  2. Step 2: Convert to fraction form
    109,566.93/164,375.03 = 34,691.55/x
  3. Step 3: Cross multiply
    109,566.93x = 164,375.03 × 34,691.55
  4. Step 4: Simplify right side
    109,566.93x = 5,702,424,398.54
  5. Step 5: Solve for x
    x = 5,702,424,398.54/109,566.93
  6. Step 6: Final answer
    x = 52,045.12

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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.