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Finding the Fourth Proportional to 29,542.14, 44,298.41 and 9,813.78

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Solution

The fourth proportional to 29,542.14, 44,298.41 and 9,813.78 is: 14,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.14 : 44,298.41 = 9,813.78 : x
  2. Step 2: Convert to fraction form
    29,542.14/44,298.41 = 9,813.78/x
  3. Step 3: Cross multiply
    29,542.14x = 44,298.41 × 9,813.78
  4. Step 4: Simplify right side
    29,542.14x = 434,734,801.02
  5. Step 5: Solve for x
    x = 434,734,801.02/29,542.14
  6. Step 6: Final answer
    x = 14,715.75

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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.