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Finding the Fourth Proportional to 35,769.30, 49,361.85 and 19,854.06

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Solution

The fourth proportional to 35,769.30, 49,361.85 and 19,854.06 is: 27,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769.30 : 49,361.85 = 19,854.06 : x
  2. Step 2: Convert to fraction form
    35,769.30/49,361.85 = 19,854.06/x
  3. Step 3: Cross multiply
    35,769.30x = 49,361.85 × 19,854.06
  4. Step 4: Simplify right side
    35,769.30x = 980,033,131.61
  5. Step 5: Solve for x
    x = 980,033,131.61/35,769.30
  6. Step 6: Final answer
    x = 27,398.72

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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.