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Finding the Fourth Proportional to 35,522.50, 49,015.47 and 20,412.24

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Solution

The fourth proportional to 35,522.50, 49,015.47 and 20,412.24 is: 28,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522.50 : 49,015.47 = 20,412.24 : x
  2. Step 2: Convert to fraction form
    35,522.50/49,015.47 = 20,412.24/x
  3. Step 3: Cross multiply
    35,522.50x = 49,015.47 × 20,412.24
  4. Step 4: Simplify right side
    35,522.50x = 1,000,515,537.35
  5. Step 5: Solve for x
    x = 1,000,515,537.35/35,522.50
  6. Step 6: Final answer
    x = 28,165.68

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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.