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Finding the Fourth Proportional to 50,486.34, 75,645.81 and 30,705.06

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Solution

The fourth proportional to 50,486.34, 75,645.81 and 30,705.06 is: 46,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,486.34 : 75,645.81 = 30,705.06 : x
  2. Step 2: Convert to fraction form
    50,486.34/75,645.81 = 30,705.06/x
  3. Step 3: Cross multiply
    50,486.34x = 75,645.81 × 30,705.06
  4. Step 4: Simplify right side
    50,486.34x = 2,322,709,134.80
  5. Step 5: Solve for x
    x = 2,322,709,134.80/50,486.34
  6. Step 6: Final answer
    x = 46,006.68

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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.