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Finding the Fourth Proportional to 35,874.57, 49,508.52 and 29,896.23

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Solution

The fourth proportional to 35,874.57, 49,508.52 and 29,896.23 is: 41,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.57 : 49,508.52 = 29,896.23 : x
  2. Step 2: Convert to fraction form
    35,874.57/49,508.52 = 29,896.23/x
  3. Step 3: Cross multiply
    35,874.57x = 49,508.52 × 29,896.23
  4. Step 4: Simplify right side
    35,874.57x = 1,480,118,100.88
  5. Step 5: Solve for x
    x = 1,480,118,100.88/35,874.57
  6. Step 6: Final answer
    x = 41,258.14

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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.