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Finding the Fourth Proportional to 32,866, 49,288.56 and 10,674.24

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Solution

The fourth proportional to 32,866, 49,288.56 and 10,674.24 is: 16,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866 : 49,288.56 = 10,674.24 : x
  2. Step 2: Convert to fraction form
    32,866/49,288.56 = 10,674.24/x
  3. Step 3: Cross multiply
    32,866x = 49,288.56 × 10,674.24
  4. Step 4: Simplify right side
    32,866x = 526,117,918.69
  5. Step 5: Solve for x
    x = 526,117,918.69/32,866
  6. Step 6: Final answer
    x = 16,007.97

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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.