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Finding the Fourth Proportional to 35,980.85, 49,651.23 and 19,847.18

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Solution

The fourth proportional to 35,980.85, 49,651.23 and 19,847.18 is: 27,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.85 : 49,651.23 = 19,847.18 : x
  2. Step 2: Convert to fraction form
    35,980.85/49,651.23 = 19,847.18/x
  3. Step 3: Cross multiply
    35,980.85x = 49,651.23 × 19,847.18
  4. Step 4: Simplify right side
    35,980.85x = 985,437,079.04
  5. Step 5: Solve for x
    x = 985,437,079.04/35,980.85
  6. Step 6: Final answer
    x = 27,387.82

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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.