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Finding the Fourth Proportional to 28,178.62, 42,270.74 and 10,413.95

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Solution

The fourth proportional to 28,178.62, 42,270.74 and 10,413.95 is: 15,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.62 : 42,270.74 = 10,413.95 : x
  2. Step 2: Convert to fraction form
    28,178.62/42,270.74 = 10,413.95/x
  3. Step 3: Cross multiply
    28,178.62x = 42,270.74 × 10,413.95
  4. Step 4: Simplify right side
    28,178.62x = 440,205,187.50
  5. Step 5: Solve for x
    x = 440,205,187.50/28,178.62
  6. Step 6: Final answer
    x = 15,621.96

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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.