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Finding the Fourth Proportional to 35,744.64, 49,295.28 and 22,317.12

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Solution

The fourth proportional to 35,744.64, 49,295.28 and 22,317.12 is: 30,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.64 : 49,295.28 = 22,317.12 : x
  2. Step 2: Convert to fraction form
    35,744.64/49,295.28 = 22,317.12/x
  3. Step 3: Cross multiply
    35,744.64x = 49,295.28 × 22,317.12
  4. Step 4: Simplify right side
    35,744.64x = 1,100,128,679.19
  5. Step 5: Solve for x
    x = 1,100,128,679.19/35,744.64
  6. Step 6: Final answer
    x = 30,777.44

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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.