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Finding the Fourth Proportional to 47,738.50, 71,607.75 and 14,906.50

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Solution

The fourth proportional to 47,738.50, 71,607.75 and 14,906.50 is: 22,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,738.50 : 71,607.75 = 14,906.50 : x
  2. Step 2: Convert to fraction form
    47,738.50/71,607.75 = 14,906.50/x
  3. Step 3: Cross multiply
    47,738.50x = 71,607.75 × 14,906.50
  4. Step 4: Simplify right side
    47,738.50x = 1,067,420,925.38
  5. Step 5: Solve for x
    x = 1,067,420,925.38/47,738.50
  6. Step 6: Final answer
    x = 22,359.75

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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.