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Finding the Fourth Proportional to 32,407.20, 44,709.66 and 20,466

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Solution

The fourth proportional to 32,407.20, 44,709.66 and 20,466 is: 28,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.20 : 44,709.66 = 20,466 : x
  2. Step 2: Convert to fraction form
    32,407.20/44,709.66 = 20,466/x
  3. Step 3: Cross multiply
    32,407.20x = 44,709.66 × 20,466
  4. Step 4: Simplify right side
    32,407.20x = 915,027,901.56
  5. Step 5: Solve for x
    x = 915,027,901.56/32,407.20
  6. Step 6: Final answer
    x = 28,235.33

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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.