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Finding the Fourth Proportional to 39,346.50, 54,298.17 and 21,682.50

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Solution

The fourth proportional to 39,346.50, 54,298.17 and 21,682.50 is: 29,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,346.50 : 54,298.17 = 21,682.50 : x
  2. Step 2: Convert to fraction form
    39,346.50/54,298.17 = 21,682.50/x
  3. Step 3: Cross multiply
    39,346.50x = 54,298.17 × 21,682.50
  4. Step 4: Simplify right side
    39,346.50x = 1,177,320,071.03
  5. Step 5: Solve for x
    x = 1,177,320,071.03/39,346.50
  6. Step 6: Final answer
    x = 29,921.85

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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.