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Finding the Fourth Proportional to 77,993.96, 107,631.28 and 42,184

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Solution

The fourth proportional to 77,993.96, 107,631.28 and 42,184 is: 58,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.96 : 107,631.28 = 42,184 : x
  2. Step 2: Convert to fraction form
    77,993.96/107,631.28 = 42,184/x
  3. Step 3: Cross multiply
    77,993.96x = 107,631.28 × 42,184
  4. Step 4: Simplify right side
    77,993.96x = 4,540,317,915.52
  5. Step 5: Solve for x
    x = 4,540,317,915.52/77,993.96
  6. Step 6: Final answer
    x = 58,213.71

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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.