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Finding the Fourth Proportional to 57,194.58, 78,859.89 and 49,223.10

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Solution

The fourth proportional to 57,194.58, 78,859.89 and 49,223.10 is: 67,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.58 : 78,859.89 = 49,223.10 : x
  2. Step 2: Convert to fraction form
    57,194.58/78,859.89 = 49,223.10/x
  3. Step 3: Cross multiply
    57,194.58x = 78,859.89 × 49,223.10
  4. Step 4: Simplify right side
    57,194.58x = 3,881,728,251.46
  5. Step 5: Solve for x
    x = 3,881,728,251.46/57,194.58
  6. Step 6: Final answer
    x = 67,868.81

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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.