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Finding the Fourth Proportional to 106,282.71, 159,368.71 and 39,668.06

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Solution

The fourth proportional to 106,282.71, 159,368.71 and 39,668.06 is: 59,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,282.71 : 159,368.71 = 39,668.06 : x
  2. Step 2: Convert to fraction form
    106,282.71/159,368.71 = 39,668.06/x
  3. Step 3: Cross multiply
    106,282.71x = 159,368.71 × 39,668.06
  4. Step 4: Simplify right side
    106,282.71x = 6,321,846,916.02
  5. Step 5: Solve for x
    x = 6,321,846,916.02/106,282.71
  6. Step 6: Final answer
    x = 59,481.42

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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.