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Finding the Fourth Proportional to 31,139.27, 42,971.97 and 17,710.51

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Solution

The fourth proportional to 31,139.27, 42,971.97 and 17,710.51 is: 24,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139.27 : 42,971.97 = 17,710.51 : x
  2. Step 2: Convert to fraction form
    31,139.27/42,971.97 = 17,710.51/x
  3. Step 3: Cross multiply
    31,139.27x = 42,971.97 × 17,710.51
  4. Step 4: Simplify right side
    31,139.27x = 761,055,504.40
  5. Step 5: Solve for x
    x = 761,055,504.40/31,139.27
  6. Step 6: Final answer
    x = 24,440.38

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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.