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Finding the Fourth Proportional to 78,183.49, 107,890.32 and 42,372.74

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Solution

The fourth proportional to 78,183.49, 107,890.32 and 42,372.74 is: 58,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.49 : 107,890.32 = 42,372.74 : x
  2. Step 2: Convert to fraction form
    78,183.49/107,890.32 = 42,372.74/x
  3. Step 3: Cross multiply
    78,183.49x = 107,890.32 × 42,372.74
  4. Step 4: Simplify right side
    78,183.49x = 4,571,607,938.43
  5. Step 5: Solve for x
    x = 4,571,607,938.43/78,183.49
  6. Step 6: Final answer
    x = 58,472.81

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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.