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Finding the Fourth Proportional to 35,684.49, 49,247.60 and 19,770.42

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Solution

The fourth proportional to 35,684.49, 49,247.60 and 19,770.42 is: 27,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.49 : 49,247.60 = 19,770.42 : x
  2. Step 2: Convert to fraction form
    35,684.49/49,247.60 = 19,770.42/x
  3. Step 3: Cross multiply
    35,684.49x = 49,247.60 × 19,770.42
  4. Step 4: Simplify right side
    35,684.49x = 973,645,637.14
  5. Step 5: Solve for x
    x = 973,645,637.14/35,684.49
  6. Step 6: Final answer
    x = 27,284.84

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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.