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Finding the Fourth Proportional to 50,632.82, 75,948.94 and 20,646.94

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Solution

The fourth proportional to 50,632.82, 75,948.94 and 20,646.94 is: 30,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632.82 : 75,948.94 = 20,646.94 : x
  2. Step 2: Convert to fraction form
    50,632.82/75,948.94 = 20,646.94/x
  3. Step 3: Cross multiply
    50,632.82x = 75,948.94 × 20,646.94
  4. Step 4: Simplify right side
    50,632.82x = 1,568,113,207.24
  5. Step 5: Solve for x
    x = 1,568,113,207.24/50,632.82
  6. Step 6: Final answer
    x = 30,970.29

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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.