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Finding the Fourth Proportional to 30,944.46, 42,704.24 and 16,798.22

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Solution

The fourth proportional to 30,944.46, 42,704.24 and 16,798.22 is: 23,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.46 : 42,704.24 = 16,798.22 : x
  2. Step 2: Convert to fraction form
    30,944.46/42,704.24 = 16,798.22/x
  3. Step 3: Cross multiply
    30,944.46x = 42,704.24 × 16,798.22
  4. Step 4: Simplify right side
    30,944.46x = 717,354,920.94
  5. Step 5: Solve for x
    x = 717,354,920.94/30,944.46
  6. Step 6: Final answer
    x = 23,182.01

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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.