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Finding the Fourth Proportional to 43,880.22, 65,849.13 and 32,157.66

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Solution

The fourth proportional to 43,880.22, 65,849.13 and 32,157.66 is: 48,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,880.22 : 65,849.13 = 32,157.66 : x
  2. Step 2: Convert to fraction form
    43,880.22/65,849.13 = 32,157.66/x
  3. Step 3: Cross multiply
    43,880.22x = 65,849.13 × 32,157.66
  4. Step 4: Simplify right side
    43,880.22x = 2,117,553,933.84
  5. Step 5: Solve for x
    x = 2,117,553,933.84/43,880.22
  6. Step 6: Final answer
    x = 48,257.60

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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.