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Finding the Fourth Proportional to 57,200.13, 78,941.39 and 34,550.37

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Solution

The fourth proportional to 57,200.13, 78,941.39 and 34,550.37 is: 47,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.13 : 78,941.39 = 34,550.37 : x
  2. Step 2: Convert to fraction form
    57,200.13/78,941.39 = 34,550.37/x
  3. Step 3: Cross multiply
    57,200.13x = 78,941.39 × 34,550.37
  4. Step 4: Simplify right side
    57,200.13x = 2,727,454,060.06
  5. Step 5: Solve for x
    x = 2,727,454,060.06/57,200.13
  6. Step 6: Final answer
    x = 47,682.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.