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Finding the Fourth Proportional to 68,041.32, 102,070.92 and 23,671.44

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Solution

The fourth proportional to 68,041.32, 102,070.92 and 23,671.44 is: 35,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,041.32 : 102,070.92 = 23,671.44 : x
  2. Step 2: Convert to fraction form
    68,041.32/102,070.92 = 23,671.44/x
  3. Step 3: Cross multiply
    68,041.32x = 102,070.92 × 23,671.44
  4. Step 4: Simplify right side
    68,041.32x = 2,416,165,658.52
  5. Step 5: Solve for x
    x = 2,416,165,658.52/68,041.32
  6. Step 6: Final answer
    x = 35,510.27

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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.