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Finding the Fourth Proportional to 77,311.26, 115,933.14 and 27,374.76

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Solution

The fourth proportional to 77,311.26, 115,933.14 and 27,374.76 is: 41,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.26 : 115,933.14 = 27,374.76 : x
  2. Step 2: Convert to fraction form
    77,311.26/115,933.14 = 27,374.76/x
  3. Step 3: Cross multiply
    77,311.26x = 115,933.14 × 27,374.76
  4. Step 4: Simplify right side
    77,311.26x = 3,173,641,883.55
  5. Step 5: Solve for x
    x = 3,173,641,883.55/77,311.26
  6. Step 6: Final answer
    x = 41,050.19

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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.