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Finding the Fourth Proportional to 31,144.06, 46,715.84 and 8,957.35

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Solution

The fourth proportional to 31,144.06, 46,715.84 and 8,957.35 is: 13,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.06 : 46,715.84 = 8,957.35 : x
  2. Step 2: Convert to fraction form
    31,144.06/46,715.84 = 8,957.35/x
  3. Step 3: Cross multiply
    31,144.06x = 46,715.84 × 8,957.35
  4. Step 4: Simplify right side
    31,144.06x = 418,450,176.62
  5. Step 5: Solve for x
    x = 418,450,176.62/31,144.06
  6. Step 6: Final answer
    x = 13,435.95

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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.