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Finding the Fourth Proportional to 38,697, 53,413.26 and 25,270.32

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Solution

The fourth proportional to 38,697, 53,413.26 and 25,270.32 is: 34,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,697 : 53,413.26 = 25,270.32 : x
  2. Step 2: Convert to fraction form
    38,697/53,413.26 = 25,270.32/x
  3. Step 3: Cross multiply
    38,697x = 53,413.26 × 25,270.32
  4. Step 4: Simplify right side
    38,697x = 1,349,770,172.44
  5. Step 5: Solve for x
    x = 1,349,770,172.44/38,697
  6. Step 6: Final answer
    x = 34,880.49

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1.5x scale

Why These Related Problems?

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