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Finding the Fourth Proportional to 37,757.34, 56,597.13 and 20,222.46

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Solution

The fourth proportional to 37,757.34, 56,597.13 and 20,222.46 is: 30,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.34 : 56,597.13 = 20,222.46 : x
  2. Step 2: Convert to fraction form
    37,757.34/56,597.13 = 20,222.46/x
  3. Step 3: Cross multiply
    37,757.34x = 56,597.13 × 20,222.46
  4. Step 4: Simplify right side
    37,757.34x = 1,144,533,197.54
  5. Step 5: Solve for x
    x = 1,144,533,197.54/37,757.34
  6. Step 6: Final answer
    x = 30,312.87

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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.