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Finding the Fourth Proportional to 32,290, 44,578.47 and 20,969.62

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Solution

The fourth proportional to 32,290, 44,578.47 and 20,969.62 is: 28,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290 : 44,578.47 = 20,969.62 : x
  2. Step 2: Convert to fraction form
    32,290/44,578.47 = 20,969.62/x
  3. Step 3: Cross multiply
    32,290x = 44,578.47 × 20,969.62
  4. Step 4: Simplify right side
    32,290x = 934,793,576.08
  5. Step 5: Solve for x
    x = 934,793,576.08/32,290
  6. Step 6: Final answer
    x = 28,949.94

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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.