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Finding the Fourth Proportional to 70,743.87, 106,093.25 and 23,350.16

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Solution

The fourth proportional to 70,743.87, 106,093.25 and 23,350.16 is: 35,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743.87 : 106,093.25 = 23,350.16 : x
  2. Step 2: Convert to fraction form
    70,743.87/106,093.25 = 23,350.16/x
  3. Step 3: Cross multiply
    70,743.87x = 106,093.25 × 23,350.16
  4. Step 4: Simplify right side
    70,743.87x = 2,477,294,362.42
  5. Step 5: Solve for x
    x = 2,477,294,362.42/70,743.87
  6. Step 6: Final answer
    x = 35,017.80

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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.