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Finding the Fourth Proportional to 35,659.94, 49,233.12 and 22,918.82

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Solution

The fourth proportional to 35,659.94, 49,233.12 and 22,918.82 is: 31,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,659.94 : 49,233.12 = 22,918.82 : x
  2. Step 2: Convert to fraction form
    35,659.94/49,233.12 = 22,918.82/x
  3. Step 3: Cross multiply
    35,659.94x = 49,233.12 × 22,918.82
  4. Step 4: Simplify right side
    35,659.94x = 1,128,365,015.32
  5. Step 5: Solve for x
    x = 1,128,365,015.32/35,659.94
  6. Step 6: Final answer
    x = 31,642.37

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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.