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Finding the Fourth Proportional to 31,966.98, 44,114.76 and 17,627.34

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Solution

The fourth proportional to 31,966.98, 44,114.76 and 17,627.34 is: 24,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.98 : 44,114.76 = 17,627.34 : x
  2. Step 2: Convert to fraction form
    31,966.98/44,114.76 = 17,627.34/x
  3. Step 3: Cross multiply
    31,966.98x = 44,114.76 × 17,627.34
  4. Step 4: Simplify right side
    31,966.98x = 777,625,873.54
  5. Step 5: Solve for x
    x = 777,625,873.54/31,966.98
  6. Step 6: Final answer
    x = 24,325.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.