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Finding the Fourth Proportional to 57,200.39, 78,935.58 and 31,358.76

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Solution

The fourth proportional to 57,200.39, 78,935.58 and 31,358.76 is: 43,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.39 : 78,935.58 = 31,358.76 : x
  2. Step 2: Convert to fraction form
    57,200.39/78,935.58 = 31,358.76/x
  3. Step 3: Cross multiply
    57,200.39x = 78,935.58 × 31,358.76
  4. Step 4: Simplify right side
    57,200.39x = 2,475,321,908.68
  5. Step 5: Solve for x
    x = 2,475,321,908.68/57,200.39
  6. Step 6: Final answer
    x = 43,274.56

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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.