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Finding the Fourth Proportional to 37,777, 52,132.26 and 21,009.64

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Solution

The fourth proportional to 37,777, 52,132.26 and 21,009.64 is: 28,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,777 : 52,132.26 = 21,009.64 : x
  2. Step 2: Convert to fraction form
    37,777/52,132.26 = 21,009.64/x
  3. Step 3: Cross multiply
    37,777x = 52,132.26 × 21,009.64
  4. Step 4: Simplify right side
    37,777x = 1,095,280,014.99
  5. Step 5: Solve for x
    x = 1,095,280,014.99/37,777
  6. Step 6: Final answer
    x = 28,993.30

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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.