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Finding the Fourth Proportional to 106,562.69, 159,869.03 and 31,683.45

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Solution

The fourth proportional to 106,562.69, 159,869.03 and 31,683.45 is: 47,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.69 : 159,869.03 = 31,683.45 : x
  2. Step 2: Convert to fraction form
    106,562.69/159,869.03 = 31,683.45/x
  3. Step 3: Cross multiply
    106,562.69x = 159,869.03 × 31,683.45
  4. Step 4: Simplify right side
    106,562.69x = 5,065,202,260.14
  5. Step 5: Solve for x
    x = 5,065,202,260.14/106,562.69
  6. Step 6: Final answer
    x = 47,532.61

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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.