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Finding the Fourth Proportional to 82,256.40, 123,413.40 and 35,523.60

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Solution

The fourth proportional to 82,256.40, 123,413.40 and 35,523.60 is: 53,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,256.40 : 123,413.40 = 35,523.60 : x
  2. Step 2: Convert to fraction form
    82,256.40/123,413.40 = 35,523.60/x
  3. Step 3: Cross multiply
    82,256.40x = 123,413.40 × 35,523.60
  4. Step 4: Simplify right side
    82,256.40x = 4,384,088,256.24
  5. Step 5: Solve for x
    x = 4,384,088,256.24/82,256.40
  6. Step 6: Final answer
    x = 53,297.84

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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.