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Finding the Fourth Proportional to 30,198.76, 45,300.34 and 8,011.64

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Solution

The fourth proportional to 30,198.76, 45,300.34 and 8,011.64 is: 12,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.76 : 45,300.34 = 8,011.64 : x
  2. Step 2: Convert to fraction form
    30,198.76/45,300.34 = 8,011.64/x
  3. Step 3: Cross multiply
    30,198.76x = 45,300.34 × 8,011.64
  4. Step 4: Simplify right side
    30,198.76x = 362,930,015.96
  5. Step 5: Solve for x
    x = 362,930,015.96/30,198.76
  6. Step 6: Final answer
    x = 12,018.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.