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Finding the Fourth Proportional to 50,548, 75,818.81 and 19,741.37

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Solution

The fourth proportional to 50,548, 75,818.81 and 19,741.37 is: 29,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548 : 75,818.81 = 19,741.37 : x
  2. Step 2: Convert to fraction form
    50,548/75,818.81 = 19,741.37/x
  3. Step 3: Cross multiply
    50,548x = 75,818.81 × 19,741.37
  4. Step 4: Simplify right side
    50,548x = 1,496,767,181.17
  5. Step 5: Solve for x
    x = 1,496,767,181.17/50,548
  6. Step 6: Final answer
    x = 29,610.81

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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.