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Finding the Fourth Proportional to 68,339.42, 102,509.80 and 23,967.23

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Solution

The fourth proportional to 68,339.42, 102,509.80 and 23,967.23 is: 35,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,339.42 : 102,509.80 = 23,967.23 : x
  2. Step 2: Convert to fraction form
    68,339.42/102,509.80 = 23,967.23/x
  3. Step 3: Cross multiply
    68,339.42x = 102,509.80 × 23,967.23
  4. Step 4: Simplify right side
    68,339.42x = 2,456,876,150.21
  5. Step 5: Solve for x
    x = 2,456,876,150.21/68,339.42
  6. Step 6: Final answer
    x = 35,951.09

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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.