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Finding the Fourth Proportional to 47,874.03, 71,821.71 and 14,596.68

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Solution

The fourth proportional to 47,874.03, 71,821.71 and 14,596.68 is: 21,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.03 : 71,821.71 = 14,596.68 : x
  2. Step 2: Convert to fraction form
    47,874.03/71,821.71 = 14,596.68/x
  3. Step 3: Cross multiply
    47,874.03x = 71,821.71 × 14,596.68
  4. Step 4: Simplify right side
    47,874.03x = 1,048,358,517.92
  5. Step 5: Solve for x
    x = 1,048,358,517.92/47,874.03
  6. Step 6: Final answer
    x = 21,898.27

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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.