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Finding the Fourth Proportional to 41,865.86, 57,717.14 and 33,396.70

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Solution

The fourth proportional to 41,865.86, 57,717.14 and 33,396.70 is: 46,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865.86 : 57,717.14 = 33,396.70 : x
  2. Step 2: Convert to fraction form
    41,865.86/57,717.14 = 33,396.70/x
  3. Step 3: Cross multiply
    41,865.86x = 57,717.14 × 33,396.70
  4. Step 4: Simplify right side
    41,865.86x = 1,927,562,009.44
  5. Step 5: Solve for x
    x = 1,927,562,009.44/41,865.86
  6. Step 6: Final answer
    x = 46,041.38

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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.