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Finding the Fourth Proportional to 106,453.69, 159,706.19 and 39,894.41

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Solution

The fourth proportional to 106,453.69, 159,706.19 and 39,894.41 is: 59,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453.69 : 159,706.19 = 39,894.41 : x
  2. Step 2: Convert to fraction form
    106,453.69/159,706.19 = 39,894.41/x
  3. Step 3: Cross multiply
    106,453.69x = 159,706.19 × 39,894.41
  4. Step 4: Simplify right side
    106,453.69x = 6,371,384,223.40
  5. Step 5: Solve for x
    x = 6,371,384,223.40/106,453.69
  6. Step 6: Final answer
    x = 59,851.23

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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.