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Finding the Fourth Proportional to 31,885.74, 44,002.11 and 17,546.46

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Solution

The fourth proportional to 31,885.74, 44,002.11 and 17,546.46 is: 24,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.74 : 44,002.11 = 17,546.46 : x
  2. Step 2: Convert to fraction form
    31,885.74/44,002.11 = 17,546.46/x
  3. Step 3: Cross multiply
    31,885.74x = 44,002.11 × 17,546.46
  4. Step 4: Simplify right side
    31,885.74x = 772,081,263.03
  5. Step 5: Solve for x
    x = 772,081,263.03/31,885.74
  6. Step 6: Final answer
    x = 24,214.00

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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.