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Finding the Fourth Proportional to 35,722.96, 49,297.60 and 19,807

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Solution

The fourth proportional to 35,722.96, 49,297.60 and 19,807 is: 27,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.96 : 49,297.60 = 19,807 : x
  2. Step 2: Convert to fraction form
    35,722.96/49,297.60 = 19,807/x
  3. Step 3: Cross multiply
    35,722.96x = 49,297.60 × 19,807
  4. Step 4: Simplify right side
    35,722.96x = 976,437,563.20
  5. Step 5: Solve for x
    x = 976,437,563.20/35,722.96
  6. Step 6: Final answer
    x = 27,333.61

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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.