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Finding the Fourth Proportional to 57,286.66, 85,828.32 and 23,933.32

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Solution

The fourth proportional to 57,286.66, 85,828.32 and 23,933.32 is: 35,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,286.66 : 85,828.32 = 23,933.32 : x
  2. Step 2: Convert to fraction form
    57,286.66/85,828.32 = 23,933.32/x
  3. Step 3: Cross multiply
    57,286.66x = 85,828.32 × 23,933.32
  4. Step 4: Simplify right side
    57,286.66x = 2,054,156,647.62
  5. Step 5: Solve for x
    x = 2,054,156,647.62/57,286.66
  6. Step 6: Final answer
    x = 35,857.50

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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.