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Finding the Fourth Proportional to 57,475.46, 79,313.28 and 31,983.32

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Solution

The fourth proportional to 57,475.46, 79,313.28 and 31,983.32 is: 44,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,475.46 : 79,313.28 = 31,983.32 : x
  2. Step 2: Convert to fraction form
    57,475.46/79,313.28 = 31,983.32/x
  3. Step 3: Cross multiply
    57,475.46x = 79,313.28 × 31,983.32
  4. Step 4: Simplify right side
    57,475.46x = 2,536,702,014.49
  5. Step 5: Solve for x
    x = 2,536,702,014.49/57,475.46
  6. Step 6: Final answer
    x = 44,135.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.