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Finding the Fourth Proportional to 28,942.12, 39,899 and 20,417.68

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Solution

The fourth proportional to 28,942.12, 39,899 and 20,417.68 is: 28,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,942.12 : 39,899 = 20,417.68 : x
  2. Step 2: Convert to fraction form
    28,942.12/39,899 = 20,417.68/x
  3. Step 3: Cross multiply
    28,942.12x = 39,899 × 20,417.68
  4. Step 4: Simplify right side
    28,942.12x = 814,645,014.32
  5. Step 5: Solve for x
    x = 814,645,014.32/28,942.12
  6. Step 6: Final answer
    x = 28,147.39

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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.