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Finding the Fourth Proportional to 31,964.49, 44,114.22 and 18,538.74

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Solution

The fourth proportional to 31,964.49, 44,114.22 and 18,538.74 is: 25,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.49 : 44,114.22 = 18,538.74 : x
  2. Step 2: Convert to fraction form
    31,964.49/44,114.22 = 18,538.74/x
  3. Step 3: Cross multiply
    31,964.49x = 44,114.22 × 18,538.74
  4. Step 4: Simplify right side
    31,964.49x = 817,822,054.88
  5. Step 5: Solve for x
    x = 817,822,054.88/31,964.49
  6. Step 6: Final answer
    x = 25,585.33

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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.