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Finding the Fourth Proportional to 32,965.49, 49,451.28 and 10,778.99

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Solution

The fourth proportional to 32,965.49, 49,451.28 and 10,778.99 is: 16,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.49 : 49,451.28 = 10,778.99 : x
  2. Step 2: Convert to fraction form
    32,965.49/49,451.28 = 10,778.99/x
  3. Step 3: Cross multiply
    32,965.49x = 49,451.28 × 10,778.99
  4. Step 4: Simplify right side
    32,965.49x = 533,034,564.93
  5. Step 5: Solve for x
    x = 533,034,564.93/32,965.49
  6. Step 6: Final answer
    x = 16,169.47

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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.