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Finding the Fourth Proportional to 41,729, 57,586.08 and 24,962

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Solution

The fourth proportional to 41,729, 57,586.08 and 24,962 is: 34,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,729 : 57,586.08 = 24,962 : x
  2. Step 2: Convert to fraction form
    41,729/57,586.08 = 24,962/x
  3. Step 3: Cross multiply
    41,729x = 57,586.08 × 24,962
  4. Step 4: Simplify right side
    41,729x = 1,437,463,728.96
  5. Step 5: Solve for x
    x = 1,437,463,728.96/41,729
  6. Step 6: Final answer
    x = 34,447.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.