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Finding the Fourth Proportional to 35,778.56, 49,372.08 and 19,862.24

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Solution

The fourth proportional to 35,778.56, 49,372.08 and 19,862.24 is: 27,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.56 : 49,372.08 = 19,862.24 : x
  2. Step 2: Convert to fraction form
    35,778.56/49,372.08 = 19,862.24/x
  3. Step 3: Cross multiply
    35,778.56x = 49,372.08 × 19,862.24
  4. Step 4: Simplify right side
    35,778.56x = 980,640,102.26
  5. Step 5: Solve for x
    x = 980,640,102.26/35,778.56
  6. Step 6: Final answer
    x = 27,408.60

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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.