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Finding the Fourth Proportional to 51,710.67, 71,358.84 and 31,601.21

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Solution

The fourth proportional to 51,710.67, 71,358.84 and 31,601.21 is: 43,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.67 : 71,358.84 = 31,601.21 : x
  2. Step 2: Convert to fraction form
    51,710.67/71,358.84 = 31,601.21/x
  3. Step 3: Cross multiply
    51,710.67x = 71,358.84 × 31,601.21
  4. Step 4: Simplify right side
    51,710.67x = 2,255,025,530.19
  5. Step 5: Solve for x
    x = 2,255,025,530.19/51,710.67
  6. Step 6: Final answer
    x = 43,608.52

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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.