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Finding the Fourth Proportional to 47,794.60, 71,689.83 and 14,513.92

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Solution

The fourth proportional to 47,794.60, 71,689.83 and 14,513.92 is: 21,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.60 : 71,689.83 = 14,513.92 : x
  2. Step 2: Convert to fraction form
    47,794.60/71,689.83 = 14,513.92/x
  3. Step 3: Cross multiply
    47,794.60x = 71,689.83 × 14,513.92
  4. Step 4: Simplify right side
    47,794.60x = 1,040,500,457.43
  5. Step 5: Solve for x
    x = 1,040,500,457.43/47,794.60
  6. Step 6: Final answer
    x = 21,770.25

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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.