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Finding the Fourth Proportional to 47,677.39, 71,527.88 and 33,664.87

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Solution

The fourth proportional to 47,677.39, 71,527.88 and 33,664.87 is: 50,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.39 : 71,527.88 = 33,664.87 : x
  2. Step 2: Convert to fraction form
    47,677.39/71,527.88 = 33,664.87/x
  3. Step 3: Cross multiply
    47,677.39x = 71,527.88 × 33,664.87
  4. Step 4: Simplify right side
    47,677.39x = 2,407,976,781.58
  5. Step 5: Solve for x
    x = 2,407,976,781.58/47,677.39
  6. Step 6: Final answer
    x = 50,505.63

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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.