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Finding the Fourth Proportional to 35,567.64, 49,082.22 and 19,651.68

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Solution

The fourth proportional to 35,567.64, 49,082.22 and 19,651.68 is: 27,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,567.64 : 49,082.22 = 19,651.68 : x
  2. Step 2: Convert to fraction form
    35,567.64/49,082.22 = 19,651.68/x
  3. Step 3: Cross multiply
    35,567.64x = 49,082.22 × 19,651.68
  4. Step 4: Simplify right side
    35,567.64x = 964,548,081.13
  5. Step 5: Solve for x
    x = 964,548,081.13/35,567.64
  6. Step 6: Final answer
    x = 27,118.70

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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.