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Finding the Fourth Proportional to 30,885.42, 42,622.12 and 16,738.22

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Solution

The fourth proportional to 30,885.42, 42,622.12 and 16,738.22 is: 23,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.42 : 42,622.12 = 16,738.22 : x
  2. Step 2: Convert to fraction form
    30,885.42/42,622.12 = 16,738.22/x
  3. Step 3: Cross multiply
    30,885.42x = 42,622.12 × 16,738.22
  4. Step 4: Simplify right side
    30,885.42x = 713,418,421.43
  5. Step 5: Solve for x
    x = 713,418,421.43/30,885.42
  6. Step 6: Final answer
    x = 23,098.87

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