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Finding the Fourth Proportional to 32,552.69, 48,828.89 and 13,829.85

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Solution

The fourth proportional to 32,552.69, 48,828.89 and 13,829.85 is: 20,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.69 : 48,828.89 = 13,829.85 : x
  2. Step 2: Convert to fraction form
    32,552.69/48,828.89 = 13,829.85/x
  3. Step 3: Cross multiply
    32,552.69x = 48,828.89 × 13,829.85
  4. Step 4: Simplify right side
    32,552.69x = 675,296,155.22
  5. Step 5: Solve for x
    x = 675,296,155.22/32,552.69
  6. Step 6: Final answer
    x = 20,744.71

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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.