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Finding the Fourth Proportional to 50,315.31, 75,482.09 and 20,717

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Solution

The fourth proportional to 50,315.31, 75,482.09 and 20,717 is: 31,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.31 : 75,482.09 = 20,717 : x
  2. Step 2: Convert to fraction form
    50,315.31/75,482.09 = 20,717/x
  3. Step 3: Cross multiply
    50,315.31x = 75,482.09 × 20,717
  4. Step 4: Simplify right side
    50,315.31x = 1,563,762,458.53
  5. Step 5: Solve for x
    x = 1,563,762,458.53/50,315.31
  6. Step 6: Final answer
    x = 31,079.26

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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.