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Finding the Fourth Proportional to 32,171.96, 44,396.75 and 17,831.75

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Solution

The fourth proportional to 32,171.96, 44,396.75 and 17,831.75 is: 24,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.96 : 44,396.75 = 17,831.75 : x
  2. Step 2: Convert to fraction form
    32,171.96/44,396.75 = 17,831.75/x
  3. Step 3: Cross multiply
    32,171.96x = 44,396.75 × 17,831.75
  4. Step 4: Simplify right side
    32,171.96x = 791,671,569.41
  5. Step 5: Solve for x
    x = 791,671,569.41/32,171.96
  6. Step 6: Final answer
    x = 24,607.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.