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Finding the Fourth Proportional to 35,119.86, 48,464.94 and 20,013.42

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Solution

The fourth proportional to 35,119.86, 48,464.94 and 20,013.42 is: 27,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,119.86 : 48,464.94 = 20,013.42 : x
  2. Step 2: Convert to fraction form
    35,119.86/48,464.94 = 20,013.42/x
  3. Step 3: Cross multiply
    35,119.86x = 48,464.94 × 20,013.42
  4. Step 4: Simplify right side
    35,119.86x = 969,949,199.49
  5. Step 5: Solve for x
    x = 969,949,199.49/35,119.86
  6. Step 6: Final answer
    x = 27,618.25

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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.