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Finding the Fourth Proportional to 30,523.86, 45,770.73 and 12,749.22

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Solution

The fourth proportional to 30,523.86, 45,770.73 and 12,749.22 is: 19,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.86 : 45,770.73 = 12,749.22 : x
  2. Step 2: Convert to fraction form
    30,523.86/45,770.73 = 12,749.22/x
  3. Step 3: Cross multiply
    30,523.86x = 45,770.73 × 12,749.22
  4. Step 4: Simplify right side
    30,523.86x = 583,541,106.33
  5. Step 5: Solve for x
    x = 583,541,106.33/30,523.86
  6. Step 6: Final answer
    x = 19,117.54

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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.