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Finding the Fourth Proportional to 42,874.16, 59,163.84 and 23,753.84

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Solution

The fourth proportional to 42,874.16, 59,163.84 and 23,753.84 is: 32,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874.16 : 59,163.84 = 23,753.84 : x
  2. Step 2: Convert to fraction form
    42,874.16/59,163.84 = 23,753.84/x
  3. Step 3: Cross multiply
    42,874.16x = 59,163.84 × 23,753.84
  4. Step 4: Simplify right side
    42,874.16x = 1,405,368,389.15
  5. Step 5: Solve for x
    x = 1,405,368,389.15/42,874.16
  6. Step 6: Final answer
    x = 32,778.91

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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.