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Finding the Fourth Proportional to 35,475.40, 48,947.22 and 22,885

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Solution

The fourth proportional to 35,475.40, 48,947.22 and 22,885 is: 31,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,475.40 : 48,947.22 = 22,885 : x
  2. Step 2: Convert to fraction form
    35,475.40/48,947.22 = 22,885/x
  3. Step 3: Cross multiply
    35,475.40x = 48,947.22 × 22,885
  4. Step 4: Simplify right side
    35,475.40x = 1,120,157,129.70
  5. Step 5: Solve for x
    x = 1,120,157,129.70/35,475.40
  6. Step 6: Final answer
    x = 31,575.60

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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.