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Finding the Fourth Proportional to 35,783.98, 49,382.10 and 19,651.98

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Solution

The fourth proportional to 35,783.98, 49,382.10 and 19,651.98 is: 27,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.98 : 49,382.10 = 19,651.98 : x
  2. Step 2: Convert to fraction form
    35,783.98/49,382.10 = 19,651.98/x
  3. Step 3: Cross multiply
    35,783.98x = 49,382.10 × 19,651.98
  4. Step 4: Simplify right side
    35,783.98x = 970,456,041.56
  5. Step 5: Solve for x
    x = 970,456,041.56/35,783.98
  6. Step 6: Final answer
    x = 27,119.85

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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.