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Finding the Fourth Proportional to 43,880.30, 65,830.14 and 20,493.98

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Solution

The fourth proportional to 43,880.30, 65,830.14 and 20,493.98 is: 30,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,880.30 : 65,830.14 = 20,493.98 : x
  2. Step 2: Convert to fraction form
    43,880.30/65,830.14 = 20,493.98/x
  3. Step 3: Cross multiply
    43,880.30x = 65,830.14 × 20,493.98
  4. Step 4: Simplify right side
    43,880.30x = 1,349,121,572.56
  5. Step 5: Solve for x
    x = 1,349,121,572.56/43,880.30
  6. Step 6: Final answer
    x = 30,745.50

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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.