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Finding the Fourth Proportional to 41,078.76, 56,689.50 and 24,096

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Solution

The fourth proportional to 41,078.76, 56,689.50 and 24,096 is: 33,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078.76 : 56,689.50 = 24,096 : x
  2. Step 2: Convert to fraction form
    41,078.76/56,689.50 = 24,096/x
  3. Step 3: Cross multiply
    41,078.76x = 56,689.50 × 24,096
  4. Step 4: Simplify right side
    41,078.76x = 1,365,990,192
  5. Step 5: Solve for x
    x = 1,365,990,192/41,078.76
  6. Step 6: Final answer
    x = 33,252.96

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Why These Related Problems?

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