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Finding the Fourth Proportional to 29,884.42, 41,228.14 and 17,782.50

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Solution

The fourth proportional to 29,884.42, 41,228.14 and 17,782.50 is: 24,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884.42 : 41,228.14 = 17,782.50 : x
  2. Step 2: Convert to fraction form
    29,884.42/41,228.14 = 17,782.50/x
  3. Step 3: Cross multiply
    29,884.42x = 41,228.14 × 17,782.50
  4. Step 4: Simplify right side
    29,884.42x = 733,139,399.55
  5. Step 5: Solve for x
    x = 733,139,399.55/29,884.42
  6. Step 6: Final answer
    x = 24,532.50

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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.