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Finding the Fourth Proportional to 31,904.70, 47,863.96 and 9,717.48

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Solution

The fourth proportional to 31,904.70, 47,863.96 and 9,717.48 is: 14,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.70 : 47,863.96 = 9,717.48 : x
  2. Step 2: Convert to fraction form
    31,904.70/47,863.96 = 9,717.48/x
  3. Step 3: Cross multiply
    31,904.70x = 47,863.96 × 9,717.48
  4. Step 4: Simplify right side
    31,904.70x = 465,117,074.02
  5. Step 5: Solve for x
    x = 465,117,074.02/31,904.70
  6. Step 6: Final answer
    x = 14,578.32

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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.