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Finding the Fourth Proportional to 50,196.93, 69,318.62 and 32,323.06

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Solution

The fourth proportional to 50,196.93, 69,318.62 and 32,323.06 is: 44,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196.93 : 69,318.62 = 32,323.06 : x
  2. Step 2: Convert to fraction form
    50,196.93/69,318.62 = 32,323.06/x
  3. Step 3: Cross multiply
    50,196.93x = 69,318.62 × 32,323.06
  4. Step 4: Simplify right side
    50,196.93x = 2,240,589,913.38
  5. Step 5: Solve for x
    x = 2,240,589,913.38/50,196.93
  6. Step 6: Final answer
    x = 44,635.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.