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Finding the Fourth Proportional to 77,100.50, 115,650.78 and 21,696.50

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Solution

The fourth proportional to 77,100.50, 115,650.78 and 21,696.50 is: 32,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.50 : 115,650.78 = 21,696.50 : x
  2. Step 2: Convert to fraction form
    77,100.50/115,650.78 = 21,696.50/x
  3. Step 3: Cross multiply
    77,100.50x = 115,650.78 × 21,696.50
  4. Step 4: Simplify right side
    77,100.50x = 2,509,217,148.27
  5. Step 5: Solve for x
    x = 2,509,217,148.27/77,100.50
  6. Step 6: Final answer
    x = 32,544.76

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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.