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Finding the Fourth Proportional to 37,756.12, 52,102 and 20,990.20

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Solution

The fourth proportional to 37,756.12, 52,102 and 20,990.20 is: 28,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,756.12 : 52,102 = 20,990.20 : x
  2. Step 2: Convert to fraction form
    37,756.12/52,102 = 20,990.20/x
  3. Step 3: Cross multiply
    37,756.12x = 52,102 × 20,990.20
  4. Step 4: Simplify right side
    37,756.12x = 1,093,631,400.40
  5. Step 5: Solve for x
    x = 1,093,631,400.40/37,756.12
  6. Step 6: Final answer
    x = 28,965.67

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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.