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Finding the Fourth Proportional to 76,383.43, 105,410.28 and 42,394.11

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Solution

The fourth proportional to 76,383.43, 105,410.28 and 42,394.11 is: 58,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,383.43 : 105,410.28 = 42,394.11 : x
  2. Step 2: Convert to fraction form
    76,383.43/105,410.28 = 42,394.11/x
  3. Step 3: Cross multiply
    76,383.43x = 105,410.28 × 42,394.11
  4. Step 4: Simplify right side
    76,383.43x = 4,468,775,559.72
  5. Step 5: Solve for x
    x = 4,468,775,559.72/76,383.43
  6. Step 6: Final answer
    x = 58,504.52

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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.