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Finding the Fourth Proportional to 34,596.52, 47,739.96 and 20,446.60

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Solution

The fourth proportional to 34,596.52, 47,739.96 and 20,446.60 is: 28,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.52 : 47,739.96 = 20,446.60 : x
  2. Step 2: Convert to fraction form
    34,596.52/47,739.96 = 20,446.60/x
  3. Step 3: Cross multiply
    34,596.52x = 47,739.96 × 20,446.60
  4. Step 4: Simplify right side
    34,596.52x = 976,119,866.14
  5. Step 5: Solve for x
    x = 976,119,866.14/34,596.52
  6. Step 6: Final answer
    x = 28,214.39

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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.