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Finding the Fourth Proportional to 47,793.82, 71,636.64 and 24,063.64

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Solution

The fourth proportional to 47,793.82, 71,636.64 and 24,063.64 is: 36,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.82 : 71,636.64 = 24,063.64 : x
  2. Step 2: Convert to fraction form
    47,793.82/71,636.64 = 24,063.64/x
  3. Step 3: Cross multiply
    47,793.82x = 71,636.64 × 24,063.64
  4. Step 4: Simplify right side
    47,793.82x = 1,723,838,315.77
  5. Step 5: Solve for x
    x = 1,723,838,315.77/47,793.82
  6. Step 6: Final answer
    x = 36,068.23

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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.