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Finding the Fourth Proportional to 57,199.39, 78,934.20 and 31,357.76

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Solution

The fourth proportional to 57,199.39, 78,934.20 and 31,357.76 is: 43,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.39 : 78,934.20 = 31,357.76 : x
  2. Step 2: Convert to fraction form
    57,199.39/78,934.20 = 31,357.76/x
  3. Step 3: Cross multiply
    57,199.39x = 78,934.20 × 31,357.76
  4. Step 4: Simplify right side
    57,199.39x = 2,475,199,699.39
  5. Step 5: Solve for x
    x = 2,475,199,699.39/57,199.39
  6. Step 6: Final answer
    x = 43,273.18

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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.