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Finding the Fourth Proportional to 67,458.96, 101,204.92 and 31,944.56

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Solution

The fourth proportional to 67,458.96, 101,204.92 and 31,944.56 is: 47,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,458.96 : 101,204.92 = 31,944.56 : x
  2. Step 2: Convert to fraction form
    67,458.96/101,204.92 = 31,944.56/x
  3. Step 3: Cross multiply
    67,458.96x = 101,204.92 × 31,944.56
  4. Step 4: Simplify right side
    67,458.96x = 3,232,946,639.24
  5. Step 5: Solve for x
    x = 3,232,946,639.24/67,458.96
  6. Step 6: Final answer
    x = 47,924.64

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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.