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Finding the Fourth Proportional to 31,683.40, 43,724.47 and 17,536.24

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Solution

The fourth proportional to 31,683.40, 43,724.47 and 17,536.24 is: 24,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.40 : 43,724.47 = 17,536.24 : x
  2. Step 2: Convert to fraction form
    31,683.40/43,724.47 = 17,536.24/x
  3. Step 3: Cross multiply
    31,683.40x = 43,724.47 × 17,536.24
  4. Step 4: Simplify right side
    31,683.40x = 766,762,799.79
  5. Step 5: Solve for x
    x = 766,762,799.79/31,683.40
  6. Step 6: Final answer
    x = 24,200.77

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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.