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Finding the Fourth Proportional to 47,326.43, 70,974.29 and 15,728

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Solution

The fourth proportional to 47,326.43, 70,974.29 and 15,728 is: 23,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326.43 : 70,974.29 = 15,728 : x
  2. Step 2: Convert to fraction form
    47,326.43/70,974.29 = 15,728/x
  3. Step 3: Cross multiply
    47,326.43x = 70,974.29 × 15,728
  4. Step 4: Simplify right side
    47,326.43x = 1,116,283,633.12
  5. Step 5: Solve for x
    x = 1,116,283,633.12/47,326.43
  6. Step 6: Final answer
    x = 23,586.90

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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.