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Finding the Fourth Proportional to 57,723.84, 86,464.26 and 36,653.31

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Solution

The fourth proportional to 57,723.84, 86,464.26 and 36,653.31 is: 54,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723.84 : 86,464.26 = 36,653.31 : x
  2. Step 2: Convert to fraction form
    57,723.84/86,464.26 = 36,653.31/x
  3. Step 3: Cross multiply
    57,723.84x = 86,464.26 × 36,653.31
  4. Step 4: Simplify right side
    57,723.84x = 3,169,201,325.70
  5. Step 5: Solve for x
    x = 3,169,201,325.70/57,723.84
  6. Step 6: Final answer
    x = 54,902.82

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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.