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Finding the Fourth Proportional to 78,519.57, 108,357.57 and 42,709.56

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Solution

The fourth proportional to 78,519.57, 108,357.57 and 42,709.56 is: 58,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519.57 : 108,357.57 = 42,709.56 : x
  2. Step 2: Convert to fraction form
    78,519.57/108,357.57 = 42,709.56/x
  3. Step 3: Cross multiply
    78,519.57x = 108,357.57 × 42,709.56
  4. Step 4: Simplify right side
    78,519.57x = 4,627,904,137.37
  5. Step 5: Solve for x
    x = 4,627,904,137.37/78,519.57
  6. Step 6: Final answer
    x = 58,939.50

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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.