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Finding the Fourth Proportional to 32,824.71, 49,226.54 and 10,632.74

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Solution

The fourth proportional to 32,824.71, 49,226.54 and 10,632.74 is: 15,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824.71 : 49,226.54 = 10,632.74 : x
  2. Step 2: Convert to fraction form
    32,824.71/49,226.54 = 10,632.74/x
  3. Step 3: Cross multiply
    32,824.71x = 49,226.54 × 10,632.74
  4. Step 4: Simplify right side
    32,824.71x = 523,412,701.62
  5. Step 5: Solve for x
    x = 523,412,701.62/32,824.71
  6. Step 6: Final answer
    x = 15,945.69

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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.