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Finding the Fourth Proportional to 30,201.32, 45,298.46 and 8,016.42

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Solution

The fourth proportional to 30,201.32, 45,298.46 and 8,016.42 is: 12,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.32 : 45,298.46 = 8,016.42 : x
  2. Step 2: Convert to fraction form
    30,201.32/45,298.46 = 8,016.42/x
  3. Step 3: Cross multiply
    30,201.32x = 45,298.46 × 8,016.42
  4. Step 4: Simplify right side
    30,201.32x = 363,131,468.25
  5. Step 5: Solve for x
    x = 363,131,468.25/30,201.32
  6. Step 6: Final answer
    x = 12,023.70

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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.