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Finding the Fourth Proportional to 106,650.90, 159,922.62 and 35,548.32

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Solution

The fourth proportional to 106,650.90, 159,922.62 and 35,548.32 is: 53,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,650.90 : 159,922.62 = 35,548.32 : x
  2. Step 2: Convert to fraction form
    106,650.90/159,922.62 = 35,548.32/x
  3. Step 3: Cross multiply
    106,650.90x = 159,922.62 × 35,548.32
  4. Step 4: Simplify right side
    106,650.90x = 5,684,980,471.00
  5. Step 5: Solve for x
    x = 5,684,980,471.00/106,650.90
  6. Step 6: Final answer
    x = 53,304.57

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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.