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Finding the Fourth Proportional to 57,443.23, 86,112.32 and 24,165.64

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Solution

The fourth proportional to 57,443.23, 86,112.32 and 24,165.64 is: 36,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,443.23 : 86,112.32 = 24,165.64 : x
  2. Step 2: Convert to fraction form
    57,443.23/86,112.32 = 24,165.64/x
  3. Step 3: Cross multiply
    57,443.23x = 86,112.32 × 24,165.64
  4. Step 4: Simplify right side
    57,443.23x = 2,080,959,311.50
  5. Step 5: Solve for x
    x = 2,080,959,311.50/57,443.23
  6. Step 6: Final answer
    x = 36,226.37

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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.