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Finding the Fourth Proportional to 57,161.94, 78,859.24 and 35,933.46

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Solution

The fourth proportional to 57,161.94, 78,859.24 and 35,933.46 is: 49,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161.94 : 78,859.24 = 35,933.46 : x
  2. Step 2: Convert to fraction form
    57,161.94/78,859.24 = 35,933.46/x
  3. Step 3: Cross multiply
    57,161.94x = 78,859.24 × 35,933.46
  4. Step 4: Simplify right side
    57,161.94x = 2,833,685,346.17
  5. Step 5: Solve for x
    x = 2,833,685,346.17/57,161.94
  6. Step 6: Final answer
    x = 49,572.94

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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.