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Finding the Fourth Proportional to 31,996, 44,224.40 and 28,190.08

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Solution

The fourth proportional to 31,996, 44,224.40 and 28,190.08 is: 38,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996 : 44,224.40 = 28,190.08 : x
  2. Step 2: Convert to fraction form
    31,996/44,224.40 = 28,190.08/x
  3. Step 3: Cross multiply
    31,996x = 44,224.40 × 28,190.08
  4. Step 4: Simplify right side
    31,996x = 1,246,689,373.95
  5. Step 5: Solve for x
    x = 1,246,689,373.95/31,996
  6. Step 6: Final answer
    x = 38,963.91

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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.