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Finding the Fourth Proportional to 20,045.31, 30,078.98 and 10,185.43

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Solution

The fourth proportional to 20,045.31, 30,078.98 and 10,185.43 is: 15,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.31 : 30,078.98 = 10,185.43 : x
  2. Step 2: Convert to fraction form
    20,045.31/30,078.98 = 10,185.43/x
  3. Step 3: Cross multiply
    20,045.31x = 30,078.98 × 10,185.43
  4. Step 4: Simplify right side
    20,045.31x = 306,367,345.26
  5. Step 5: Solve for x
    x = 306,367,345.26/20,045.31
  6. Step 6: Final answer
    x = 15,283.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.