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Finding the Fourth Proportional to 38,197, 57,313.70 and 18,464.56

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Solution

The fourth proportional to 38,197, 57,313.70 and 18,464.56 is: 27,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 57,313.70 = 18,464.56 : x
  2. Step 2: Convert to fraction form
    38,197/57,313.70 = 18,464.56/x
  3. Step 3: Cross multiply
    38,197x = 57,313.70 × 18,464.56
  4. Step 4: Simplify right side
    38,197x = 1,058,272,252.47
  5. Step 5: Solve for x
    x = 1,058,272,252.47/38,197
  6. Step 6: Final answer
    x = 27,705.64

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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.