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Finding the Fourth Proportional to 32,963.68, 49,448.56 and 10,777.17

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Solution

The fourth proportional to 32,963.68, 49,448.56 and 10,777.17 is: 16,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.68 : 49,448.56 = 10,777.17 : x
  2. Step 2: Convert to fraction form
    32,963.68/49,448.56 = 10,777.17/x
  3. Step 3: Cross multiply
    32,963.68x = 49,448.56 × 10,777.17
  4. Step 4: Simplify right side
    32,963.68x = 532,915,537.38
  5. Step 5: Solve for x
    x = 532,915,537.38/32,963.68
  6. Step 6: Final answer
    x = 16,166.75

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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.