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Finding the Fourth Proportional to 35,765.34, 49,353.86 and 19,849.80

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Solution

The fourth proportional to 35,765.34, 49,353.86 and 19,849.80 is: 27,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.34 : 49,353.86 = 19,849.80 : x
  2. Step 2: Convert to fraction form
    35,765.34/49,353.86 = 19,849.80/x
  3. Step 3: Cross multiply
    35,765.34x = 49,353.86 × 19,849.80
  4. Step 4: Simplify right side
    35,765.34x = 979,664,250.23
  5. Step 5: Solve for x
    x = 979,664,250.23/35,765.34
  6. Step 6: Final answer
    x = 27,391.44

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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.