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Finding the Fourth Proportional to 31,681.42, 43,721.04 and 17,535.22

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Solution

The fourth proportional to 31,681.42, 43,721.04 and 17,535.22 is: 24,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.42 : 43,721.04 = 17,535.22 : x
  2. Step 2: Convert to fraction form
    31,681.42/43,721.04 = 17,535.22/x
  3. Step 3: Cross multiply
    31,681.42x = 43,721.04 × 17,535.22
  4. Step 4: Simplify right side
    31,681.42x = 766,658,055.03
  5. Step 5: Solve for x
    x = 766,658,055.03/31,681.42
  6. Step 6: Final answer
    x = 24,198.98

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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.