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Finding the Fourth Proportional to 35,735.17, 49,314.45 and 19,822

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Solution

The fourth proportional to 35,735.17, 49,314.45 and 19,822 is: 27,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.17 : 49,314.45 = 19,822 : x
  2. Step 2: Convert to fraction form
    35,735.17/49,314.45 = 19,822/x
  3. Step 3: Cross multiply
    35,735.17x = 49,314.45 × 19,822
  4. Step 4: Simplify right side
    35,735.17x = 977,511,027.90
  5. Step 5: Solve for x
    x = 977,511,027.90/35,735.17
  6. Step 6: Final answer
    x = 27,354.31

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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.