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Finding the Fourth Proportional to 30,922.59, 42,673.20 and 16,775.44

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Solution

The fourth proportional to 30,922.59, 42,673.20 and 16,775.44 is: 23,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.59 : 42,673.20 = 16,775.44 : x
  2. Step 2: Convert to fraction form
    30,922.59/42,673.20 = 16,775.44/x
  3. Step 3: Cross multiply
    30,922.59x = 42,673.20 × 16,775.44
  4. Step 4: Simplify right side
    30,922.59x = 715,861,536.62
  5. Step 5: Solve for x
    x = 715,861,536.62/30,922.59
  6. Step 6: Final answer
    x = 23,150.11

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1.5x scale

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.