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Finding the Fourth Proportional to 51,713.80, 71,362.78 and 31,604.32

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Solution

The fourth proportional to 51,713.80, 71,362.78 and 31,604.32 is: 43,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.80 : 71,362.78 = 31,604.32 : x
  2. Step 2: Convert to fraction form
    51,713.80/71,362.78 = 31,604.32/x
  3. Step 3: Cross multiply
    51,713.80x = 71,362.78 × 31,604.32
  4. Step 4: Simplify right side
    51,713.80x = 2,255,372,135.21
  5. Step 5: Solve for x
    x = 2,255,372,135.21/51,713.80
  6. Step 6: Final answer
    x = 43,612.58

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