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Finding the Fourth Proportional to 37,662.66, 56,435.64 and 23,782.50

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Solution

The fourth proportional to 37,662.66, 56,435.64 and 23,782.50 is: 35,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.66 : 56,435.64 = 23,782.50 : x
  2. Step 2: Convert to fraction form
    37,662.66/56,435.64 = 23,782.50/x
  3. Step 3: Cross multiply
    37,662.66x = 56,435.64 × 23,782.50
  4. Step 4: Simplify right side
    37,662.66x = 1,342,180,608.30
  5. Step 5: Solve for x
    x = 1,342,180,608.30/37,662.66
  6. Step 6: Final answer
    x = 35,636.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.