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Finding the Fourth Proportional to 35,684.30, 49,244.73 and 19,769

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Solution

The fourth proportional to 35,684.30, 49,244.73 and 19,769 is: 27,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.30 : 49,244.73 = 19,769 : x
  2. Step 2: Convert to fraction form
    35,684.30/49,244.73 = 19,769/x
  3. Step 3: Cross multiply
    35,684.30x = 49,244.73 × 19,769
  4. Step 4: Simplify right side
    35,684.30x = 973,519,067.37
  5. Step 5: Solve for x
    x = 973,519,067.37/35,684.30
  6. Step 6: Final answer
    x = 27,281.44

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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.