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Finding the Fourth Proportional to 37,750.70, 52,019.22 and 29,200.90

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Solution

The fourth proportional to 37,750.70, 52,019.22 and 29,200.90 is: 40,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750.70 : 52,019.22 = 29,200.90 : x
  2. Step 2: Convert to fraction form
    37,750.70/52,019.22 = 29,200.90/x
  3. Step 3: Cross multiply
    37,750.70x = 52,019.22 × 29,200.90
  4. Step 4: Simplify right side
    37,750.70x = 1,519,008,041.30
  5. Step 5: Solve for x
    x = 1,519,008,041.30/37,750.70
  6. Step 6: Final answer
    x = 40,237.88

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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.