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Finding the Fourth Proportional to 31,384.68, 43,313.16 and 19,450.32

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Solution

The fourth proportional to 31,384.68, 43,313.16 and 19,450.32 is: 26,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.68 : 43,313.16 = 19,450.32 : x
  2. Step 2: Convert to fraction form
    31,384.68/43,313.16 = 19,450.32/x
  3. Step 3: Cross multiply
    31,384.68x = 43,313.16 × 19,450.32
  4. Step 4: Simplify right side
    31,384.68x = 842,454,822.21
  5. Step 5: Solve for x
    x = 842,454,822.21/31,384.68
  6. Step 6: Final answer
    x = 26,842.87

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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.