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Finding the Fourth Proportional to 35,427.42, 48,877.00 and 20,105.10

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Solution

The fourth proportional to 35,427.42, 48,877.00 and 20,105.10 is: 27,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,427.42 : 48,877.00 = 20,105.10 : x
  2. Step 2: Convert to fraction form
    35,427.42/48,877.00 = 20,105.10/x
  3. Step 3: Cross multiply
    35,427.42x = 48,877.00 × 20,105.10
  4. Step 4: Simplify right side
    35,427.42x = 982,676,922.44
  5. Step 5: Solve for x
    x = 982,676,922.44/35,427.42
  6. Step 6: Final answer
    x = 27,737.75

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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.