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Finding the Fourth Proportional to 20,042.54, 30,065.53 and 5,251.45

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Solution

The fourth proportional to 20,042.54, 30,065.53 and 5,251.45 is: 7,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.54 : 30,065.53 = 5,251.45 : x
  2. Step 2: Convert to fraction form
    20,042.54/30,065.53 = 5,251.45/x
  3. Step 3: Cross multiply
    20,042.54x = 30,065.53 × 5,251.45
  4. Step 4: Simplify right side
    20,042.54x = 157,887,627.52
  5. Step 5: Solve for x
    x = 157,887,627.52/20,042.54
  6. Step 6: Final answer
    x = 7,877.63

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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.