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Finding the Fourth Proportional to 35,894.30, 49,512.08 and 23,142.74

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Solution

The fourth proportional to 35,894.30, 49,512.08 and 23,142.74 is: 31,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.30 : 49,512.08 = 23,142.74 : x
  2. Step 2: Convert to fraction form
    35,894.30/49,512.08 = 23,142.74/x
  3. Step 3: Cross multiply
    35,894.30x = 49,512.08 × 23,142.74
  4. Step 4: Simplify right side
    35,894.30x = 1,145,845,194.30
  5. Step 5: Solve for x
    x = 1,145,845,194.30/35,894.30
  6. Step 6: Final answer
    x = 31,922.76

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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.