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Finding the Fourth Proportional to 31,683.56, 43,723.40 and 17,536.50

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Solution

The fourth proportional to 31,683.56, 43,723.40 and 17,536.50 is: 24,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.56 : 43,723.40 = 17,536.50 : x
  2. Step 2: Convert to fraction form
    31,683.56/43,723.40 = 17,536.50/x
  3. Step 3: Cross multiply
    31,683.56x = 43,723.40 × 17,536.50
  4. Step 4: Simplify right side
    31,683.56x = 766,755,316.42
  5. Step 5: Solve for x
    x = 766,755,316.42/31,683.56
  6. Step 6: Final answer
    x = 24,200.42

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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.