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Finding the Fourth Proportional to 30,201.49, 45,304.53 and 8,014.42

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Solution

The fourth proportional to 30,201.49, 45,304.53 and 8,014.42 is: 12,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.49 : 45,304.53 = 8,014.42 : x
  2. Step 2: Convert to fraction form
    30,201.49/45,304.53 = 8,014.42/x
  3. Step 3: Cross multiply
    30,201.49x = 45,304.53 × 8,014.42
  4. Step 4: Simplify right side
    30,201.49x = 363,089,531.32
  5. Step 5: Solve for x
    x = 363,089,531.32/30,201.49
  6. Step 6: Final answer
    x = 12,022.24

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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.