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Finding the Fourth Proportional to 35,902.70, 53,704.05 and 25,228.31

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Solution

The fourth proportional to 35,902.70, 53,704.05 and 25,228.31 is: 37,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.70 : 53,704.05 = 25,228.31 : x
  2. Step 2: Convert to fraction form
    35,902.70/53,704.05 = 25,228.31/x
  3. Step 3: Cross multiply
    35,902.70x = 53,704.05 × 25,228.31
  4. Step 4: Simplify right side
    35,902.70x = 1,354,862,295.51
  5. Step 5: Solve for x
    x = 1,354,862,295.51/35,902.70
  6. Step 6: Final answer
    x = 37,737.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.