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Finding the Fourth Proportional to 31,685.06, 43,726.02 and 17,538.14

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Solution

The fourth proportional to 31,685.06, 43,726.02 and 17,538.14 is: 24,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.06 : 43,726.02 = 17,538.14 : x
  2. Step 2: Convert to fraction form
    31,685.06/43,726.02 = 17,538.14/x
  3. Step 3: Cross multiply
    31,685.06x = 43,726.02 × 17,538.14
  4. Step 4: Simplify right side
    31,685.06x = 766,873,060.40
  5. Step 5: Solve for x
    x = 766,873,060.40/31,685.06
  6. Step 6: Final answer
    x = 24,202.99

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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.