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Finding the Fourth Proportional to 71,958.27, 107,946.45 and 38,632.53

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Solution

The fourth proportional to 71,958.27, 107,946.45 and 38,632.53 is: 57,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958.27 : 107,946.45 = 38,632.53 : x
  2. Step 2: Convert to fraction form
    71,958.27/107,946.45 = 38,632.53/x
  3. Step 3: Cross multiply
    71,958.27x = 107,946.45 × 38,632.53
  4. Step 4: Simplify right side
    71,958.27x = 4,170,244,468.02
  5. Step 5: Solve for x
    x = 4,170,244,468.02/71,958.27
  6. Step 6: Final answer
    x = 57,953.65

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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.