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Finding the Fourth Proportional to 77,278.14, 115,898.45 and 21,118.50

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Solution

The fourth proportional to 77,278.14, 115,898.45 and 21,118.50 is: 31,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278.14 : 115,898.45 = 21,118.50 : x
  2. Step 2: Convert to fraction form
    77,278.14/115,898.45 = 21,118.50/x
  3. Step 3: Cross multiply
    77,278.14x = 115,898.45 × 21,118.50
  4. Step 4: Simplify right side
    77,278.14x = 2,447,601,310.73
  5. Step 5: Solve for x
    x = 2,447,601,310.73/77,278.14
  6. Step 6: Final answer
    x = 31,672.62

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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.