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Finding the Fourth Proportional to 64,640.46, 96,891.50 and 31,314.78

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Solution

The fourth proportional to 64,640.46, 96,891.50 and 31,314.78 is: 46,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,640.46 : 96,891.50 = 31,314.78 : x
  2. Step 2: Convert to fraction form
    64,640.46/96,891.50 = 31,314.78/x
  3. Step 3: Cross multiply
    64,640.46x = 96,891.50 × 31,314.78
  4. Step 4: Simplify right side
    64,640.46x = 3,034,136,006.37
  5. Step 5: Solve for x
    x = 3,034,136,006.37/64,640.46
  6. Step 6: Final answer
    x = 46,938.65

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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.