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Finding the Fourth Proportional to 31,504.72, 43,476.38 and 17,164.51

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Solution

The fourth proportional to 31,504.72, 43,476.38 and 17,164.51 is: 23,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.72 : 43,476.38 = 17,164.51 : x
  2. Step 2: Convert to fraction form
    31,504.72/43,476.38 = 17,164.51/x
  3. Step 3: Cross multiply
    31,504.72x = 43,476.38 × 17,164.51
  4. Step 4: Simplify right side
    31,504.72x = 746,250,802.19
  5. Step 5: Solve for x
    x = 746,250,802.19/31,504.72
  6. Step 6: Final answer
    x = 23,686.95

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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.