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Finding the Fourth Proportional to 31,802.92, 47,717.88 and 17,008

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Solution

The fourth proportional to 31,802.92, 47,717.88 and 17,008 is: 25,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.92 : 47,717.88 = 17,008 : x
  2. Step 2: Convert to fraction form
    31,802.92/47,717.88 = 17,008/x
  3. Step 3: Cross multiply
    31,802.92x = 47,717.88 × 17,008
  4. Step 4: Simplify right side
    31,802.92x = 811,585,703.04
  5. Step 5: Solve for x
    x = 811,585,703.04/31,802.92
  6. Step 6: Final answer
    x = 25,519.22

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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.