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Finding the Fourth Proportional to 35,684.34, 49,244.72 and 19,770.27

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Solution

The fourth proportional to 35,684.34, 49,244.72 and 19,770.27 is: 27,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.34 : 49,244.72 = 19,770.27 : x
  2. Step 2: Convert to fraction form
    35,684.34/49,244.72 = 19,770.27/x
  3. Step 3: Cross multiply
    35,684.34x = 49,244.72 × 19,770.27
  4. Step 4: Simplify right side
    35,684.34x = 973,581,410.47
  5. Step 5: Solve for x
    x = 973,581,410.47/35,684.34
  6. Step 6: Final answer
    x = 27,283.16

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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.