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Finding the Fourth Proportional to 32,804.29, 49,214.24 and 10,617.67

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Solution

The fourth proportional to 32,804.29, 49,214.24 and 10,617.67 is: 15,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.29 : 49,214.24 = 10,617.67 : x
  2. Step 2: Convert to fraction form
    32,804.29/49,214.24 = 10,617.67/x
  3. Step 3: Cross multiply
    32,804.29x = 49,214.24 × 10,617.67
  4. Step 4: Simplify right side
    32,804.29x = 522,540,463.13
  5. Step 5: Solve for x
    x = 522,540,463.13/32,804.29
  6. Step 6: Final answer
    x = 15,929.03

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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.