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Finding the Fourth Proportional to 106,175.34, 159,151.95 and 39,586.50

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Solution

The fourth proportional to 106,175.34, 159,151.95 and 39,586.50 is: 59,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,175.34 : 159,151.95 = 39,586.50 : x
  2. Step 2: Convert to fraction form
    106,175.34/159,151.95 = 39,586.50/x
  3. Step 3: Cross multiply
    106,175.34x = 159,151.95 × 39,586.50
  4. Step 4: Simplify right side
    106,175.34x = 6,300,268,668.68
  5. Step 5: Solve for x
    x = 6,300,268,668.68/106,175.34
  6. Step 6: Final answer
    x = 59,338.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.