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Finding the Fourth Proportional to 37,423.14, 51,645 and 20,428.44

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Solution

The fourth proportional to 37,423.14, 51,645 and 20,428.44 is: 28,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.14 : 51,645 = 20,428.44 : x
  2. Step 2: Convert to fraction form
    37,423.14/51,645 = 20,428.44/x
  3. Step 3: Cross multiply
    37,423.14x = 51,645 × 20,428.44
  4. Step 4: Simplify right side
    37,423.14x = 1,055,026,525.58
  5. Step 5: Solve for x
    x = 1,055,026,525.58/37,423.14
  6. Step 6: Final answer
    x = 28,191.83

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