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Finding the Fourth Proportional to 31,870.17, 43,980.21 and 17,722.71

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Solution

The fourth proportional to 31,870.17, 43,980.21 and 17,722.71 is: 24,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.17 : 43,980.21 = 17,722.71 : x
  2. Step 2: Convert to fraction form
    31,870.17/43,980.21 = 17,722.71/x
  3. Step 3: Cross multiply
    31,870.17x = 43,980.21 × 17,722.71
  4. Step 4: Simplify right side
    31,870.17x = 779,448,507.57
  5. Step 5: Solve for x
    x = 779,448,507.57/31,870.17
  6. Step 6: Final answer
    x = 24,456.99

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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.