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Finding the Fourth Proportional to 35,566.19, 49,082.31 and 19,651.65

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Solution

The fourth proportional to 35,566.19, 49,082.31 and 19,651.65 is: 27,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,566.19 : 49,082.31 = 19,651.65 : x
  2. Step 2: Convert to fraction form
    35,566.19/49,082.31 = 19,651.65/x
  3. Step 3: Cross multiply
    35,566.19x = 49,082.31 × 19,651.65
  4. Step 4: Simplify right side
    35,566.19x = 964,548,377.31
  5. Step 5: Solve for x
    x = 964,548,377.31/35,566.19
  6. Step 6: Final answer
    x = 27,119.82

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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.