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Finding the Fourth Proportional to 106,367.90, 159,570.83 and 35,294.81

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Solution

The fourth proportional to 106,367.90, 159,570.83 and 35,294.81 is: 52,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.90 : 159,570.83 = 35,294.81 : x
  2. Step 2: Convert to fraction form
    106,367.90/159,570.83 = 35,294.81/x
  3. Step 3: Cross multiply
    106,367.90x = 159,570.83 × 35,294.81
  4. Step 4: Simplify right side
    106,367.90x = 5,632,021,152.06
  5. Step 5: Solve for x
    x = 5,632,021,152.06/106,367.90
  6. Step 6: Final answer
    x = 52,948.51

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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.