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Finding the Fourth Proportional to 35,293.24, 48,704.52 and 19,378

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Solution

The fourth proportional to 35,293.24, 48,704.52 and 19,378 is: 26,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,293.24 : 48,704.52 = 19,378 : x
  2. Step 2: Convert to fraction form
    35,293.24/48,704.52 = 19,378/x
  3. Step 3: Cross multiply
    35,293.24x = 48,704.52 × 19,378
  4. Step 4: Simplify right side
    35,293.24x = 943,796,188.56
  5. Step 5: Solve for x
    x = 943,796,188.56/35,293.24
  6. Step 6: Final answer
    x = 26,741.56

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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.