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Finding the Fourth Proportional to 106,927.65, 160,369.61 and 36,812.43

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Solution

The fourth proportional to 106,927.65, 160,369.61 and 36,812.43 is: 55,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,927.65 : 160,369.61 = 36,812.43 : x
  2. Step 2: Convert to fraction form
    106,927.65/160,369.61 = 36,812.43/x
  3. Step 3: Cross multiply
    106,927.65x = 160,369.61 × 36,812.43
  4. Step 4: Simplify right side
    106,927.65x = 5,903,594,858.19
  5. Step 5: Solve for x
    x = 5,903,594,858.19/106,927.65
  6. Step 6: Final answer
    x = 55,211.12

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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.