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Finding the Fourth Proportional to 28,164.70, 42,137.70 and 18,323.20

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Solution

The fourth proportional to 28,164.70, 42,137.70 and 18,323.20 is: 27,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.70 : 42,137.70 = 18,323.20 : x
  2. Step 2: Convert to fraction form
    28,164.70/42,137.70 = 18,323.20/x
  3. Step 3: Cross multiply
    28,164.70x = 42,137.70 × 18,323.20
  4. Step 4: Simplify right side
    28,164.70x = 772,097,504.64
  5. Step 5: Solve for x
    x = 772,097,504.64/28,164.70
  6. Step 6: Final answer
    x = 27,413.66

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Why These Related Problems?

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