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Finding the Fourth Proportional to 38,965.40, 53,771.18 and 21,969.50

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Solution

The fourth proportional to 38,965.40, 53,771.18 and 21,969.50 is: 30,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.40 : 53,771.18 = 21,969.50 : x
  2. Step 2: Convert to fraction form
    38,965.40/53,771.18 = 21,969.50/x
  3. Step 3: Cross multiply
    38,965.40x = 53,771.18 × 21,969.50
  4. Step 4: Simplify right side
    38,965.40x = 1,181,325,560.31
  5. Step 5: Solve for x
    x = 1,181,325,560.31/38,965.40
  6. Step 6: Final answer
    x = 30,317.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.