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Finding the Fourth Proportional to 106,562.94, 159,874.38 and 46,596.69

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Solution

The fourth proportional to 106,562.94, 159,874.38 and 46,596.69 is: 69,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.94 : 159,874.38 = 46,596.69 : x
  2. Step 2: Convert to fraction form
    106,562.94/159,874.38 = 46,596.69/x
  3. Step 3: Cross multiply
    106,562.94x = 159,874.38 × 46,596.69
  4. Step 4: Simplify right side
    106,562.94x = 7,449,616,923.80
  5. Step 5: Solve for x
    x = 7,449,616,923.80/106,562.94
  6. Step 6: Final answer
    x = 69,908.14

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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.