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Finding the Fourth Proportional to 57,194.88, 78,928.93 and 34,838.88

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Solution

The fourth proportional to 57,194.88, 78,928.93 and 34,838.88 is: 48,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.88 : 78,928.93 = 34,838.88 : x
  2. Step 2: Convert to fraction form
    57,194.88/78,928.93 = 34,838.88/x
  3. Step 3: Cross multiply
    57,194.88x = 78,928.93 × 34,838.88
  4. Step 4: Simplify right side
    57,194.88x = 2,749,795,520.80
  5. Step 5: Solve for x
    x = 2,749,795,520.80/57,194.88
  6. Step 6: Final answer
    x = 48,077.65

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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.