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Finding the Fourth Proportional to 47,809.71, 71,724.29 and 16,647.39

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Solution

The fourth proportional to 47,809.71, 71,724.29 and 16,647.39 is: 24,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.71 : 71,724.29 = 16,647.39 : x
  2. Step 2: Convert to fraction form
    47,809.71/71,724.29 = 16,647.39/x
  3. Step 3: Cross multiply
    47,809.71x = 71,724.29 × 16,647.39
  4. Step 4: Simplify right side
    47,809.71x = 1,194,022,144.87
  5. Step 5: Solve for x
    x = 1,194,022,144.87/47,809.71
  6. Step 6: Final answer
    x = 24,974.47

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Why These Related Problems?

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