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Finding the Fourth Proportional to 32,171, 44,396.12 and 17,831.48

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Solution

The fourth proportional to 32,171, 44,396.12 and 17,831.48 is: 24,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171 : 44,396.12 = 17,831.48 : x
  2. Step 2: Convert to fraction form
    32,171/44,396.12 = 17,831.48/x
  3. Step 3: Cross multiply
    32,171x = 44,396.12 × 17,831.48
  4. Step 4: Simplify right side
    32,171x = 791,648,525.86
  5. Step 5: Solve for x
    x = 791,648,525.86/32,171
  6. Step 6: Final answer
    x = 24,607.52

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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.