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Finding the Fourth Proportional to 50,509.80, 75,773.20 and 15,441.26

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Solution

The fourth proportional to 50,509.80, 75,773.20 and 15,441.26 is: 23,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.80 : 75,773.20 = 15,441.26 : x
  2. Step 2: Convert to fraction form
    50,509.80/75,773.20 = 15,441.26/x
  3. Step 3: Cross multiply
    50,509.80x = 75,773.20 × 15,441.26
  4. Step 4: Simplify right side
    50,509.80x = 1,170,033,682.23
  5. Step 5: Solve for x
    x = 1,170,033,682.23/50,509.80
  6. Step 6: Final answer
    x = 23,164.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.