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Finding the Fourth Proportional to 32,685.01, 49,024.66 and 20,206.96

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Solution

The fourth proportional to 32,685.01, 49,024.66 and 20,206.96 is: 30,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685.01 : 49,024.66 = 20,206.96 : x
  2. Step 2: Convert to fraction form
    32,685.01/49,024.66 = 20,206.96/x
  3. Step 3: Cross multiply
    32,685.01x = 49,024.66 × 20,206.96
  4. Step 4: Simplify right side
    32,685.01x = 990,639,343.63
  5. Step 5: Solve for x
    x = 990,639,343.63/32,685.01
  6. Step 6: Final answer
    x = 30,308.67

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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.