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Finding the Fourth Proportional to 52,539.24, 78,719.76 and 31,719

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Solution

The fourth proportional to 52,539.24, 78,719.76 and 31,719 is: 47,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,539.24 : 78,719.76 = 31,719 : x
  2. Step 2: Convert to fraction form
    52,539.24/78,719.76 = 31,719/x
  3. Step 3: Cross multiply
    52,539.24x = 78,719.76 × 31,719
  4. Step 4: Simplify right side
    52,539.24x = 2,496,912,067.44
  5. Step 5: Solve for x
    x = 2,496,912,067.44/52,539.24
  6. Step 6: Final answer
    x = 47,524.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.