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Finding the Fourth Proportional to 30,922.23, 42,672.80 and 16,775.17

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Solution

The fourth proportional to 30,922.23, 42,672.80 and 16,775.17 is: 23,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.23 : 42,672.80 = 16,775.17 : x
  2. Step 2: Convert to fraction form
    30,922.23/42,672.80 = 16,775.17/x
  3. Step 3: Cross multiply
    30,922.23x = 42,672.80 × 16,775.17
  4. Step 4: Simplify right side
    30,922.23x = 715,843,474.38
  5. Step 5: Solve for x
    x = 715,843,474.38/30,922.23
  6. Step 6: Final answer
    x = 23,149.80

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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.