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Finding the Fourth Proportional to 41,197.62, 56,852.10 and 23,292

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Solution

The fourth proportional to 41,197.62, 56,852.10 and 23,292 is: 32,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,197.62 : 56,852.10 = 23,292 : x
  2. Step 2: Convert to fraction form
    41,197.62/56,852.10 = 23,292/x
  3. Step 3: Cross multiply
    41,197.62x = 56,852.10 × 23,292
  4. Step 4: Simplify right side
    41,197.62x = 1,324,199,113.20
  5. Step 5: Solve for x
    x = 1,324,199,113.20/41,197.62
  6. Step 6: Final answer
    x = 32,142.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.