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Finding the Fourth Proportional to 50,045.32, 75,065.82 and 20,453.32

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Solution

The fourth proportional to 50,045.32, 75,065.82 and 20,453.32 is: 30,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,045.32 : 75,065.82 = 20,453.32 : x
  2. Step 2: Convert to fraction form
    50,045.32/75,065.82 = 20,453.32/x
  3. Step 3: Cross multiply
    50,045.32x = 75,065.82 × 20,453.32
  4. Step 4: Simplify right side
    50,045.32x = 1,535,345,237.52
  5. Step 5: Solve for x
    x = 1,535,345,237.52/50,045.32
  6. Step 6: Final answer
    x = 30,679.10

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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.