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Finding the Fourth Proportional to 35,765.16, 49,355.94 and 19,849

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Solution

The fourth proportional to 35,765.16, 49,355.94 and 19,849 is: 27,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.16 : 49,355.94 = 19,849 : x
  2. Step 2: Convert to fraction form
    35,765.16/49,355.94 = 19,849/x
  3. Step 3: Cross multiply
    35,765.16x = 49,355.94 × 19,849
  4. Step 4: Simplify right side
    35,765.16x = 979,666,053.06
  5. Step 5: Solve for x
    x = 979,666,053.06/35,765.16
  6. Step 6: Final answer
    x = 27,391.63

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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.