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Finding the Fourth Proportional to 57,305.81, 85,993.28 and 24,473.81

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Solution

The fourth proportional to 57,305.81, 85,993.28 and 24,473.81 is: 36,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305.81 : 85,993.28 = 24,473.81 : x
  2. Step 2: Convert to fraction form
    57,305.81/85,993.28 = 24,473.81/x
  3. Step 3: Cross multiply
    57,305.81x = 85,993.28 × 24,473.81
  4. Step 4: Simplify right side
    57,305.81x = 2,104,583,380.39
  5. Step 5: Solve for x
    x = 2,104,583,380.39/57,305.81
  6. Step 6: Final answer
    x = 36,725.48

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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.