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Finding the Fourth Proportional to 78,394.10, 108,183.38 and 42,584.13

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Solution

The fourth proportional to 78,394.10, 108,183.38 and 42,584.13 is: 58,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.10 : 108,183.38 = 42,584.13 : x
  2. Step 2: Convert to fraction form
    78,394.10/108,183.38 = 42,584.13/x
  3. Step 3: Cross multiply
    78,394.10x = 108,183.38 × 42,584.13
  4. Step 4: Simplify right side
    78,394.10x = 4,606,894,904.84
  5. Step 5: Solve for x
    x = 4,606,894,904.84/78,394.10
  6. Step 6: Final answer
    x = 58,765.84

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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.