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Finding the Fourth Proportional to 68,461.61, 102,691.27 and 23,514.20

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Solution

The fourth proportional to 68,461.61, 102,691.27 and 23,514.20 is: 35,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461.61 : 102,691.27 = 23,514.20 : x
  2. Step 2: Convert to fraction form
    68,461.61/102,691.27 = 23,514.20/x
  3. Step 3: Cross multiply
    68,461.61x = 102,691.27 × 23,514.20
  4. Step 4: Simplify right side
    68,461.61x = 2,414,702,895.93
  5. Step 5: Solve for x
    x = 2,414,702,895.93/68,461.61
  6. Step 6: Final answer
    x = 35,270.91

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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.