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Finding the Fourth Proportional to 37,820.94, 52,189.29 and 20,824.98

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Solution

The fourth proportional to 37,820.94, 52,189.29 and 20,824.98 is: 28,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.94 : 52,189.29 = 20,824.98 : x
  2. Step 2: Convert to fraction form
    37,820.94/52,189.29 = 20,824.98/x
  3. Step 3: Cross multiply
    37,820.94x = 52,189.29 × 20,824.98
  4. Step 4: Simplify right side
    37,820.94x = 1,086,840,920.46
  5. Step 5: Solve for x
    x = 1,086,840,920.46/37,820.94
  6. Step 6: Final answer
    x = 28,736.49

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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.