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Finding the Fourth Proportional to 69,140.49, 103,743 and 35,842.38

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Solution

The fourth proportional to 69,140.49, 103,743 and 35,842.38 is: 53,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,140.49 : 103,743 = 35,842.38 : x
  2. Step 2: Convert to fraction form
    69,140.49/103,743 = 35,842.38/x
  3. Step 3: Cross multiply
    69,140.49x = 103,743 × 35,842.38
  4. Step 4: Simplify right side
    69,140.49x = 3,718,396,028.34
  5. Step 5: Solve for x
    x = 3,718,396,028.34/69,140.49
  6. Step 6: Final answer
    x = 53,780.30

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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.