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Finding the Fourth Proportional to 77,956.38, 107,579.75 and 42,146.42

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Solution

The fourth proportional to 77,956.38, 107,579.75 and 42,146.42 is: 58,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,956.38 : 107,579.75 = 42,146.42 : x
  2. Step 2: Convert to fraction form
    77,956.38/107,579.75 = 42,146.42/x
  3. Step 3: Cross multiply
    77,956.38x = 107,579.75 × 42,146.42
  4. Step 4: Simplify right side
    77,956.38x = 4,534,100,578.36
  5. Step 5: Solve for x
    x = 4,534,100,578.36/77,956.38
  6. Step 6: Final answer
    x = 58,162.02

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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.