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Finding the Fourth Proportional to 111,921, 167,881.50 and 38,049

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Solution

The fourth proportional to 111,921, 167,881.50 and 38,049 is: 57,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,921 : 167,881.50 = 38,049 : x
  2. Step 2: Convert to fraction form
    111,921/167,881.50 = 38,049/x
  3. Step 3: Cross multiply
    111,921x = 167,881.50 × 38,049
  4. Step 4: Simplify right side
    111,921x = 6,387,723,193.50
  5. Step 5: Solve for x
    x = 6,387,723,193.50/111,921
  6. Step 6: Final answer
    x = 57,073.50

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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.