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Finding the Fourth Proportional to 32,694.46, 49,020.59 and 13,986.70

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Solution

The fourth proportional to 32,694.46, 49,020.59 and 13,986.70 is: 20,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.46 : 49,020.59 = 13,986.70 : x
  2. Step 2: Convert to fraction form
    32,694.46/49,020.59 = 13,986.70/x
  3. Step 3: Cross multiply
    32,694.46x = 49,020.59 × 13,986.70
  4. Step 4: Simplify right side
    32,694.46x = 685,636,216.22
  5. Step 5: Solve for x
    x = 685,636,216.22/32,694.46
  6. Step 6: Final answer
    x = 20,971.02

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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.