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Finding the Fourth Proportional to 41,284.38, 56,973.78 and 23,379

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Solution

The fourth proportional to 41,284.38, 56,973.78 and 23,379 is: 32,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284.38 : 56,973.78 = 23,379 : x
  2. Step 2: Convert to fraction form
    41,284.38/56,973.78 = 23,379/x
  3. Step 3: Cross multiply
    41,284.38x = 56,973.78 × 23,379
  4. Step 4: Simplify right side
    41,284.38x = 1,331,990,002.62
  5. Step 5: Solve for x
    x = 1,331,990,002.62/41,284.38
  6. Step 6: Final answer
    x = 32,263.78

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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.