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Finding the Fourth Proportional to 31,687.74, 47,532.24 and 9,501.48

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Solution

The fourth proportional to 31,687.74, 47,532.24 and 9,501.48 is: 14,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.74 : 47,532.24 = 9,501.48 : x
  2. Step 2: Convert to fraction form
    31,687.74/47,532.24 = 9,501.48/x
  3. Step 3: Cross multiply
    31,687.74x = 47,532.24 × 9,501.48
  4. Step 4: Simplify right side
    31,687.74x = 451,626,627.72
  5. Step 5: Solve for x
    x = 451,626,627.72/31,687.74
  6. Step 6: Final answer
    x = 14,252.41

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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.