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Finding the Fourth Proportional to 37,765.20, 56,647.80 and 20,269.20

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Solution

The fourth proportional to 37,765.20, 56,647.80 and 20,269.20 is: 30,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765.20 : 56,647.80 = 20,269.20 : x
  2. Step 2: Convert to fraction form
    37,765.20/56,647.80 = 20,269.20/x
  3. Step 3: Cross multiply
    37,765.20x = 56,647.80 × 20,269.20
  4. Step 4: Simplify right side
    37,765.20x = 1,148,205,587.76
  5. Step 5: Solve for x
    x = 1,148,205,587.76/37,765.20
  6. Step 6: Final answer
    x = 30,403.80

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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.