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Finding the Fourth Proportional to 39,655, 54,723.90 and 21,991

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Solution

The fourth proportional to 39,655, 54,723.90 and 21,991 is: 30,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,655 : 54,723.90 = 21,991 : x
  2. Step 2: Convert to fraction form
    39,655/54,723.90 = 21,991/x
  3. Step 3: Cross multiply
    39,655x = 54,723.90 × 21,991
  4. Step 4: Simplify right side
    39,655x = 1,203,433,284.90
  5. Step 5: Solve for x
    x = 1,203,433,284.90/39,655
  6. Step 6: Final answer
    x = 30,347.58

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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.