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Finding the Fourth Proportional to 37,760.30, 52,109.84 and 20,765.30

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Solution

The fourth proportional to 37,760.30, 52,109.84 and 20,765.30 is: 28,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760.30 : 52,109.84 = 20,765.30 : x
  2. Step 2: Convert to fraction form
    37,760.30/52,109.84 = 20,765.30/x
  3. Step 3: Cross multiply
    37,760.30x = 52,109.84 × 20,765.30
  4. Step 4: Simplify right side
    37,760.30x = 1,082,076,460.55
  5. Step 5: Solve for x
    x = 1,082,076,460.55/37,760.30
  6. Step 6: Final answer
    x = 28,656.46

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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.