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Finding the Fourth Proportional to 35,657.23, 49,205.85 and 19,523.83

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Solution

The fourth proportional to 35,657.23, 49,205.85 and 19,523.83 is: 26,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.23 : 49,205.85 = 19,523.83 : x
  2. Step 2: Convert to fraction form
    35,657.23/49,205.85 = 19,523.83/x
  3. Step 3: Cross multiply
    35,657.23x = 49,205.85 × 19,523.83
  4. Step 4: Simplify right side
    35,657.23x = 960,686,650.41
  5. Step 5: Solve for x
    x = 960,686,650.41/35,657.23
  6. Step 6: Final answer
    x = 26,942.27

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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.