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Finding the Fourth Proportional to 71,164.62, 106,746.93 and 31,222.71

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Solution

The fourth proportional to 71,164.62, 106,746.93 and 31,222.71 is: 46,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.62 : 106,746.93 = 31,222.71 : x
  2. Step 2: Convert to fraction form
    71,164.62/106,746.93 = 31,222.71/x
  3. Step 3: Cross multiply
    71,164.62x = 106,746.93 × 31,222.71
  4. Step 4: Simplify right side
    71,164.62x = 3,332,928,438.78
  5. Step 5: Solve for x
    x = 3,332,928,438.78/71,164.62
  6. Step 6: Final answer
    x = 46,834.07

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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.