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Finding the Fourth Proportional to 31,790.84, 43,871.13 and 17,643.69

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Solution

The fourth proportional to 31,790.84, 43,871.13 and 17,643.69 is: 24,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.84 : 43,871.13 = 17,643.69 : x
  2. Step 2: Convert to fraction form
    31,790.84/43,871.13 = 17,643.69/x
  3. Step 3: Cross multiply
    31,790.84x = 43,871.13 × 17,643.69
  4. Step 4: Simplify right side
    31,790.84x = 774,048,617.67
  5. Step 5: Solve for x
    x = 774,048,617.67/31,790.84
  6. Step 6: Final answer
    x = 24,348.17

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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.