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Finding the Fourth Proportional to 45,659.01, 68,510.24 and 31,640.61

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Solution

The fourth proportional to 45,659.01, 68,510.24 and 31,640.61 is: 47,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,659.01 : 68,510.24 = 31,640.61 : x
  2. Step 2: Convert to fraction form
    45,659.01/68,510.24 = 31,640.61/x
  3. Step 3: Cross multiply
    45,659.01x = 68,510.24 × 31,640.61
  4. Step 4: Simplify right side
    45,659.01x = 2,167,705,626.64
  5. Step 5: Solve for x
    x = 2,167,705,626.64/45,659.01
  6. Step 6: Final answer
    x = 47,475.97

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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.