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Finding the Fourth Proportional to 30,885.95, 42,621.47 and 16,738.49

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Solution

The fourth proportional to 30,885.95, 42,621.47 and 16,738.49 is: 23,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.95 : 42,621.47 = 16,738.49 : x
  2. Step 2: Convert to fraction form
    30,885.95/42,621.47 = 16,738.49/x
  3. Step 3: Cross multiply
    30,885.95x = 42,621.47 × 16,738.49
  4. Step 4: Simplify right side
    30,885.95x = 713,419,049.38
  5. Step 5: Solve for x
    x = 713,419,049.38/30,885.95
  6. Step 6: Final answer
    x = 23,098.50

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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.