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Finding the Fourth Proportional to 35,515.74, 49,013.22 and 20,408.16

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Solution

The fourth proportional to 35,515.74, 49,013.22 and 20,408.16 is: 28,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,515.74 : 49,013.22 = 20,408.16 : x
  2. Step 2: Convert to fraction form
    35,515.74/49,013.22 = 20,408.16/x
  3. Step 3: Cross multiply
    35,515.74x = 49,013.22 × 20,408.16
  4. Step 4: Simplify right side
    35,515.74x = 1,000,269,635.88
  5. Step 5: Solve for x
    x = 1,000,269,635.88/35,515.74
  6. Step 6: Final answer
    x = 28,164.12

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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.