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Finding the Fourth Proportional to 99,847.48, 149,697.24 and 47,195.44

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Solution

The fourth proportional to 99,847.48, 149,697.24 and 47,195.44 is: 70,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,847.48 : 149,697.24 = 47,195.44 : x
  2. Step 2: Convert to fraction form
    99,847.48/149,697.24 = 47,195.44/x
  3. Step 3: Cross multiply
    99,847.48x = 149,697.24 × 47,195.44
  4. Step 4: Simplify right side
    99,847.48x = 7,065,027,108.59
  5. Step 5: Solve for x
    x = 7,065,027,108.59/99,847.48
  6. Step 6: Final answer
    x = 70,758.19

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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.