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Finding the Fourth Proportional to 47,967.34, 71,793.84 and 35,313.38

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Solution

The fourth proportional to 47,967.34, 71,793.84 and 35,313.38 is: 52,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.34 : 71,793.84 = 35,313.38 : x
  2. Step 2: Convert to fraction form
    47,967.34/71,793.84 = 35,313.38/x
  3. Step 3: Cross multiply
    47,967.34x = 71,793.84 × 35,313.38
  4. Step 4: Simplify right side
    47,967.34x = 2,535,283,153.58
  5. Step 5: Solve for x
    x = 2,535,283,153.58/47,967.34
  6. Step 6: Final answer
    x = 52,854.36

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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.