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Finding the Fourth Proportional to 35,523.68, 49,020.02 and 20,416.36

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Solution

The fourth proportional to 35,523.68, 49,020.02 and 20,416.36 is: 28,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.68 : 49,020.02 = 20,416.36 : x
  2. Step 2: Convert to fraction form
    35,523.68/49,020.02 = 20,416.36/x
  3. Step 3: Cross multiply
    35,523.68x = 49,020.02 × 20,416.36
  4. Step 4: Simplify right side
    35,523.68x = 1,000,810,375.53
  5. Step 5: Solve for x
    x = 1,000,810,375.53/35,523.68
  6. Step 6: Final answer
    x = 28,173.05

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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.