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Finding the Fourth Proportional to 35,728.76, 49,294.33 and 20,619.42

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Solution

The fourth proportional to 35,728.76, 49,294.33 and 20,619.42 is: 28,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.76 : 49,294.33 = 20,619.42 : x
  2. Step 2: Convert to fraction form
    35,728.76/49,294.33 = 20,619.42/x
  3. Step 3: Cross multiply
    35,728.76x = 49,294.33 × 20,619.42
  4. Step 4: Simplify right side
    35,728.76x = 1,016,420,493.89
  5. Step 5: Solve for x
    x = 1,016,420,493.89/35,728.76
  6. Step 6: Final answer
    x = 28,448.24

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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.