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Finding the Fourth Proportional to 31,009.38, 42,792 and 17,581.86

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Solution

The fourth proportional to 31,009.38, 42,792 and 17,581.86 is: 24,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.38 : 42,792 = 17,581.86 : x
  2. Step 2: Convert to fraction form
    31,009.38/42,792 = 17,581.86/x
  3. Step 3: Cross multiply
    31,009.38x = 42,792 × 17,581.86
  4. Step 4: Simplify right side
    31,009.38x = 752,362,953.12
  5. Step 5: Solve for x
    x = 752,362,953.12/31,009.38
  6. Step 6: Final answer
    x = 24,262.43

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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.