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Finding the Fourth Proportional to 47,491.26, 71,210.55 and 19,431

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Solution

The fourth proportional to 47,491.26, 71,210.55 and 19,431 is: 29,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,491.26 : 71,210.55 = 19,431 : x
  2. Step 2: Convert to fraction form
    47,491.26/71,210.55 = 19,431/x
  3. Step 3: Cross multiply
    47,491.26x = 71,210.55 × 19,431
  4. Step 4: Simplify right side
    47,491.26x = 1,383,692,197.05
  5. Step 5: Solve for x
    x = 1,383,692,197.05/47,491.26
  6. Step 6: Final answer
    x = 29,135.72

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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.