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Finding the Fourth Proportional to 37,761, 52,110.23 and 20,765.54

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Solution

The fourth proportional to 37,761, 52,110.23 and 20,765.54 is: 28,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761 : 52,110.23 = 20,765.54 : x
  2. Step 2: Convert to fraction form
    37,761/52,110.23 = 20,765.54/x
  3. Step 3: Cross multiply
    37,761x = 52,110.23 × 20,765.54
  4. Step 4: Simplify right side
    37,761x = 1,082,096,701.10
  5. Step 5: Solve for x
    x = 1,082,096,701.10/37,761
  6. Step 6: Final answer
    x = 28,656.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.