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Finding the Fourth Proportional to 35,753.82, 49,342.64 and 20,647.14

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Solution

The fourth proportional to 35,753.82, 49,342.64 and 20,647.14 is: 28,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,753.82 : 49,342.64 = 20,647.14 : x
  2. Step 2: Convert to fraction form
    35,753.82/49,342.64 = 20,647.14/x
  3. Step 3: Cross multiply
    35,753.82x = 49,342.64 × 20,647.14
  4. Step 4: Simplify right side
    35,753.82x = 1,018,784,292.81
  5. Step 5: Solve for x
    x = 1,018,784,292.81/35,753.82
  6. Step 6: Final answer
    x = 28,494.42

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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.