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Finding the Fourth Proportional to 38,969.28, 53,781.12 and 22,207.68

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Solution

The fourth proportional to 38,969.28, 53,781.12 and 22,207.68 is: 30,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,969.28 : 53,781.12 = 22,207.68 : x
  2. Step 2: Convert to fraction form
    38,969.28/53,781.12 = 22,207.68/x
  3. Step 3: Cross multiply
    38,969.28x = 53,781.12 × 22,207.68
  4. Step 4: Simplify right side
    38,969.28x = 1,194,353,903.00
  5. Step 5: Solve for x
    x = 1,194,353,903.00/38,969.28
  6. Step 6: Final answer
    x = 30,648.60

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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.