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Finding the Fourth Proportional to 31,683.34, 43,722.48 and 17,535.88

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Solution

The fourth proportional to 31,683.34, 43,722.48 and 17,535.88 is: 24,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.34 : 43,722.48 = 17,535.88 : x
  2. Step 2: Convert to fraction form
    31,683.34/43,722.48 = 17,535.88/x
  3. Step 3: Cross multiply
    31,683.34x = 43,722.48 × 17,535.88
  4. Step 4: Simplify right side
    31,683.34x = 766,712,162.58
  5. Step 5: Solve for x
    x = 766,712,162.58/31,683.34
  6. Step 6: Final answer
    x = 24,199.22

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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.