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Finding the Fourth Proportional to 37,762.58, 56,640.20 and 11,467.55

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Solution

The fourth proportional to 37,762.58, 56,640.20 and 11,467.55 is: 17,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.58 : 56,640.20 = 11,467.55 : x
  2. Step 2: Convert to fraction form
    37,762.58/56,640.20 = 11,467.55/x
  3. Step 3: Cross multiply
    37,762.58x = 56,640.20 × 11,467.55
  4. Step 4: Simplify right side
    37,762.58x = 649,523,984.97
  5. Step 5: Solve for x
    x = 649,523,984.97/37,762.58
  6. Step 6: Final answer
    x = 17,200.20

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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.