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Finding the Fourth Proportional to 106,283.46, 159,369.83 and 39,668.81

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Solution

The fourth proportional to 106,283.46, 159,369.83 and 39,668.81 is: 59,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,283.46 : 159,369.83 = 39,668.81 : x
  2. Step 2: Convert to fraction form
    106,283.46/159,369.83 = 39,668.81/x
  3. Step 3: Cross multiply
    106,283.46x = 159,369.83 × 39,668.81
  4. Step 4: Simplify right side
    106,283.46x = 6,322,010,808.33
  5. Step 5: Solve for x
    x = 6,322,010,808.33/106,283.46
  6. Step 6: Final answer
    x = 59,482.55

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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.