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Finding the Fourth Proportional to 119,957.70, 179,936.79 and 31,211.07

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Solution

The fourth proportional to 119,957.70, 179,936.79 and 31,211.07 is: 46,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,957.70 : 179,936.79 = 31,211.07 : x
  2. Step 2: Convert to fraction form
    119,957.70/179,936.79 = 31,211.07/x
  3. Step 3: Cross multiply
    119,957.70x = 179,936.79 × 31,211.07
  4. Step 4: Simplify right side
    119,957.70x = 5,616,019,748.27
  5. Step 5: Solve for x
    x = 5,616,019,748.27/119,957.70
  6. Step 6: Final answer
    x = 46,816.67

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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.