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Finding the Fourth Proportional to 35,684.84, 49,245.48 and 19,770.23

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Solution

The fourth proportional to 35,684.84, 49,245.48 and 19,770.23 is: 27,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.84 : 49,245.48 = 19,770.23 : x
  2. Step 2: Convert to fraction form
    35,684.84/49,245.48 = 19,770.23/x
  3. Step 3: Cross multiply
    35,684.84x = 49,245.48 × 19,770.23
  4. Step 4: Simplify right side
    35,684.84x = 973,594,589.17
  5. Step 5: Solve for x
    x = 973,594,589.17/35,684.84
  6. Step 6: Final answer
    x = 27,283.14

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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.