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Finding the Fourth Proportional to 70,763.16, 106,157.70 and 29,187.48

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Solution

The fourth proportional to 70,763.16, 106,157.70 and 29,187.48 is: 43,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,763.16 : 106,157.70 = 29,187.48 : x
  2. Step 2: Convert to fraction form
    70,763.16/106,157.70 = 29,187.48/x
  3. Step 3: Cross multiply
    70,763.16x = 106,157.70 × 29,187.48
  4. Step 4: Simplify right side
    70,763.16x = 3,098,475,745.60
  5. Step 5: Solve for x
    x = 3,098,475,745.60/70,763.16
  6. Step 6: Final answer
    x = 43,786.57

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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.