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Finding the Fourth Proportional to 34,654.28, 51,976 and 11,280.56

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Solution

The fourth proportional to 34,654.28, 51,976 and 11,280.56 is: 16,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.28 : 51,976 = 11,280.56 : x
  2. Step 2: Convert to fraction form
    34,654.28/51,976 = 11,280.56/x
  3. Step 3: Cross multiply
    34,654.28x = 51,976 × 11,280.56
  4. Step 4: Simplify right side
    34,654.28x = 586,318,386.56
  5. Step 5: Solve for x
    x = 586,318,386.56/34,654.28
  6. Step 6: Final answer
    x = 16,919.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.