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Finding the Fourth Proportional to 32,680.94, 49,042.09 and 13,961.06

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Solution

The fourth proportional to 32,680.94, 49,042.09 and 13,961.06 is: 20,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.94 : 49,042.09 = 13,961.06 : x
  2. Step 2: Convert to fraction form
    32,680.94/49,042.09 = 13,961.06/x
  3. Step 3: Cross multiply
    32,680.94x = 49,042.09 × 13,961.06
  4. Step 4: Simplify right side
    32,680.94x = 684,679,517.16
  5. Step 5: Solve for x
    x = 684,679,517.16/32,680.94
  6. Step 6: Final answer
    x = 20,950.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.