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Finding the Fourth Proportional to 47,142.95, 65,058.26 and 25,633.80

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Solution

The fourth proportional to 47,142.95, 65,058.26 and 25,633.80 is: 35,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.95 : 65,058.26 = 25,633.80 : x
  2. Step 2: Convert to fraction form
    47,142.95/65,058.26 = 25,633.80/x
  3. Step 3: Cross multiply
    47,142.95x = 65,058.26 × 25,633.80
  4. Step 4: Simplify right side
    47,142.95x = 1,667,690,297.02
  5. Step 5: Solve for x
    x = 1,667,690,297.02/47,142.95
  6. Step 6: Final answer
    x = 35,375.18

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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.