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Finding the Fourth Proportional to 30,749.44, 46,123.34 and 8,561.92

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Solution

The fourth proportional to 30,749.44, 46,123.34 and 8,561.92 is: 12,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749.44 : 46,123.34 = 8,561.92 : x
  2. Step 2: Convert to fraction form
    30,749.44/46,123.34 = 8,561.92/x
  3. Step 3: Cross multiply
    30,749.44x = 46,123.34 × 8,561.92
  4. Step 4: Simplify right side
    30,749.44x = 394,904,347.21
  5. Step 5: Solve for x
    x = 394,904,347.21/30,749.44
  6. Step 6: Final answer
    x = 12,842.65

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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.