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Finding the Fourth Proportional to 32,798.38, 49,185.52 and 11,732.71

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Solution

The fourth proportional to 32,798.38, 49,185.52 and 11,732.71 is: 17,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.38 : 49,185.52 = 11,732.71 : x
  2. Step 2: Convert to fraction form
    32,798.38/49,185.52 = 11,732.71/x
  3. Step 3: Cross multiply
    32,798.38x = 49,185.52 × 11,732.71
  4. Step 4: Simplify right side
    32,798.38x = 577,079,415.28
  5. Step 5: Solve for x
    x = 577,079,415.28/32,798.38
  6. Step 6: Final answer
    x = 17,594.75

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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.