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Finding the Fourth Proportional to 43,442.42, 65,168.76 and 13,849.88

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Solution

The fourth proportional to 43,442.42, 65,168.76 and 13,849.88 is: 20,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,442.42 : 65,168.76 = 13,849.88 : x
  2. Step 2: Convert to fraction form
    43,442.42/65,168.76 = 13,849.88/x
  3. Step 3: Cross multiply
    43,442.42x = 65,168.76 × 13,849.88
  4. Step 4: Simplify right side
    43,442.42x = 902,579,505.75
  5. Step 5: Solve for x
    x = 902,579,505.75/43,442.42
  6. Step 6: Final answer
    x = 20,776.46

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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.