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Finding the Fourth Proportional to 49,682.42, 74,531.04 and 16,406

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Solution

The fourth proportional to 49,682.42, 74,531.04 and 16,406 is: 24,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682.42 : 74,531.04 = 16,406 : x
  2. Step 2: Convert to fraction form
    49,682.42/74,531.04 = 16,406/x
  3. Step 3: Cross multiply
    49,682.42x = 74,531.04 × 16,406
  4. Step 4: Simplify right side
    49,682.42x = 1,222,756,242.24
  5. Step 5: Solve for x
    x = 1,222,756,242.24/49,682.42
  6. Step 6: Final answer
    x = 24,611.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.