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Finding the Fourth Proportional to 35,705.76, 49,268.16 and 22,274.88

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Solution

The fourth proportional to 35,705.76, 49,268.16 and 22,274.88 is: 30,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.76 : 49,268.16 = 22,274.88 : x
  2. Step 2: Convert to fraction form
    35,705.76/49,268.16 = 22,274.88/x
  3. Step 3: Cross multiply
    35,705.76x = 49,268.16 × 22,274.88
  4. Step 4: Simplify right side
    35,705.76x = 1,097,442,351.82
  5. Step 5: Solve for x
    x = 1,097,442,351.82/35,705.76
  6. Step 6: Final answer
    x = 30,735.72

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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.