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Finding the Fourth Proportional to 125,727, 188,601.84 and 32,233.56

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Solution

The fourth proportional to 125,727, 188,601.84 and 32,233.56 is: 48,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,727 : 188,601.84 = 32,233.56 : x
  2. Step 2: Convert to fraction form
    125,727/188,601.84 = 32,233.56/x
  3. Step 3: Cross multiply
    125,727x = 188,601.84 × 32,233.56
  4. Step 4: Simplify right side
    125,727x = 6,079,308,725.75
  5. Step 5: Solve for x
    x = 6,079,308,725.75/125,727
  6. Step 6: Final answer
    x = 48,353.25

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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.