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Finding the Fourth Proportional to 106,997.96, 160,523.63 and 32,119.49

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Solution

The fourth proportional to 106,997.96, 160,523.63 and 32,119.49 is: 48,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.96 : 160,523.63 = 32,119.49 : x
  2. Step 2: Convert to fraction form
    106,997.96/160,523.63 = 32,119.49/x
  3. Step 3: Cross multiply
    106,997.96x = 160,523.63 × 32,119.49
  4. Step 4: Simplify right side
    106,997.96x = 5,155,937,128.55
  5. Step 5: Solve for x
    x = 5,155,937,128.55/106,997.96
  6. Step 6: Final answer
    x = 48,187.25

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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.