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Finding the Fourth Proportional to 32,154.82, 44,358.88 and 20,828.09

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Solution

The fourth proportional to 32,154.82, 44,358.88 and 20,828.09 is: 28,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.82 : 44,358.88 = 20,828.09 : x
  2. Step 2: Convert to fraction form
    32,154.82/44,358.88 = 20,828.09/x
  3. Step 3: Cross multiply
    32,154.82x = 44,358.88 × 20,828.09
  4. Step 4: Simplify right side
    32,154.82x = 923,910,744.94
  5. Step 5: Solve for x
    x = 923,910,744.94/32,154.82
  6. Step 6: Final answer
    x = 28,733.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.