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Finding the Fourth Proportional to 78,131.92, 107,821.44 and 42,321.52

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Solution

The fourth proportional to 78,131.92, 107,821.44 and 42,321.52 is: 58,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131.92 : 107,821.44 = 42,321.52 : x
  2. Step 2: Convert to fraction form
    78,131.92/107,821.44 = 42,321.52/x
  3. Step 3: Cross multiply
    78,131.92x = 107,821.44 × 42,321.52
  4. Step 4: Simplify right side
    78,131.92x = 4,563,167,229.39
  5. Step 5: Solve for x
    x = 4,563,167,229.39/78,131.92
  6. Step 6: Final answer
    x = 58,403.37

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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.