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Finding the Fourth Proportional to 31,974.61, 44,106.87 and 20,017.18

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Solution

The fourth proportional to 31,974.61, 44,106.87 and 20,017.18 is: 27,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.61 : 44,106.87 = 20,017.18 : x
  2. Step 2: Convert to fraction form
    31,974.61/44,106.87 = 20,017.18/x
  3. Step 3: Cross multiply
    31,974.61x = 44,106.87 × 20,017.18
  4. Step 4: Simplify right side
    31,974.61x = 882,895,156.03
  5. Step 5: Solve for x
    x = 882,895,156.03/31,974.61
  6. Step 6: Final answer
    x = 27,612.38

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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.