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Finding the Fourth Proportional to 34,268.76, 47,289.42 and 20,123.16

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Solution

The fourth proportional to 34,268.76, 47,289.42 and 20,123.16 is: 27,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,268.76 : 47,289.42 = 20,123.16 : x
  2. Step 2: Convert to fraction form
    34,268.76/47,289.42 = 20,123.16/x
  3. Step 3: Cross multiply
    34,268.76x = 47,289.42 × 20,123.16
  4. Step 4: Simplify right side
    34,268.76x = 951,612,564.97
  5. Step 5: Solve for x
    x = 951,612,564.97/34,268.76
  6. Step 6: Final answer
    x = 27,769.10

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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.