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Finding the Fourth Proportional to 50,509.55, 75,772.83 and 15,441

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Solution

The fourth proportional to 50,509.55, 75,772.83 and 15,441 is: 23,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.55 : 75,772.83 = 15,441 : x
  2. Step 2: Convert to fraction form
    50,509.55/75,772.83 = 15,441/x
  3. Step 3: Cross multiply
    50,509.55x = 75,772.83 × 15,441
  4. Step 4: Simplify right side
    50,509.55x = 1,170,008,268.03
  5. Step 5: Solve for x
    x = 1,170,008,268.03/50,509.55
  6. Step 6: Final answer
    x = 23,164.10

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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.