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Finding the Fourth Proportional to 32,892.17, 49,323.89 and 11,831.36

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Solution

The fourth proportional to 32,892.17, 49,323.89 and 11,831.36 is: 17,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.17 : 49,323.89 = 11,831.36 : x
  2. Step 2: Convert to fraction form
    32,892.17/49,323.89 = 11,831.36/x
  3. Step 3: Cross multiply
    32,892.17x = 49,323.89 × 11,831.36
  4. Step 4: Simplify right side
    32,892.17x = 583,568,393.41
  5. Step 5: Solve for x
    x = 583,568,393.41/32,892.17
  6. Step 6: Final answer
    x = 17,741.87

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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.