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Finding the Fourth Proportional to 31,797.51, 47,685.10 and 9,301.97

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Solution

The fourth proportional to 31,797.51, 47,685.10 and 9,301.97 is: 13,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.51 : 47,685.10 = 9,301.97 : x
  2. Step 2: Convert to fraction form
    31,797.51/47,685.10 = 9,301.97/x
  3. Step 3: Cross multiply
    31,797.51x = 47,685.10 × 9,301.97
  4. Step 4: Simplify right side
    31,797.51x = 443,565,323.14
  5. Step 5: Solve for x
    x = 443,565,323.14/31,797.51
  6. Step 6: Final answer
    x = 13,949.69

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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.