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Finding the Fourth Proportional to 32,809.89, 49,221.32 and 12,033.57

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Solution

The fourth proportional to 32,809.89, 49,221.32 and 12,033.57 is: 18,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.89 : 49,221.32 = 12,033.57 : x
  2. Step 2: Convert to fraction form
    32,809.89/49,221.32 = 12,033.57/x
  3. Step 3: Cross multiply
    32,809.89x = 49,221.32 × 12,033.57
  4. Step 4: Simplify right side
    32,809.89x = 592,308,139.54
  5. Step 5: Solve for x
    x = 592,308,139.54/32,809.89
  6. Step 6: Final answer
    x = 18,052.73

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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.