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Finding the Fourth Proportional to 32,209.53, 48,321.79 and 10,021.74

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Solution

The fourth proportional to 32,209.53, 48,321.79 and 10,021.74 is: 15,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.53 : 48,321.79 = 10,021.74 : x
  2. Step 2: Convert to fraction form
    32,209.53/48,321.79 = 10,021.74/x
  3. Step 3: Cross multiply
    32,209.53x = 48,321.79 × 10,021.74
  4. Step 4: Simplify right side
    32,209.53x = 484,268,415.71
  5. Step 5: Solve for x
    x = 484,268,415.71/32,209.53
  6. Step 6: Final answer
    x = 15,034.94

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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.