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Finding the Fourth Proportional to 106,084.13, 159,128.01 and 35,965.26

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Solution

The fourth proportional to 106,084.13, 159,128.01 and 35,965.26 is: 53,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,084.13 : 159,128.01 = 35,965.26 : x
  2. Step 2: Convert to fraction form
    106,084.13/159,128.01 = 35,965.26/x
  3. Step 3: Cross multiply
    106,084.13x = 159,128.01 × 35,965.26
  4. Step 4: Simplify right side
    106,084.13x = 5,723,080,252.93
  5. Step 5: Solve for x
    x = 5,723,080,252.93/106,084.13
  6. Step 6: Final answer
    x = 53,948.51

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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.