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Finding the Fourth Proportional to 29,884.23, 41,256.81 and 17,950.50

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Solution

The fourth proportional to 29,884.23, 41,256.81 and 17,950.50 is: 24,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884.23 : 41,256.81 = 17,950.50 : x
  2. Step 2: Convert to fraction form
    29,884.23/41,256.81 = 17,950.50/x
  3. Step 3: Cross multiply
    29,884.23x = 41,256.81 × 17,950.50
  4. Step 4: Simplify right side
    29,884.23x = 740,580,367.91
  5. Step 5: Solve for x
    x = 740,580,367.91/29,884.23
  6. Step 6: Final answer
    x = 24,781.64

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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.