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Finding the Fourth Proportional to 82,256.20, 123,413.10 and 35,542.60

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Solution

The fourth proportional to 82,256.20, 123,413.10 and 35,542.60 is: 53,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,256.20 : 123,413.10 = 35,542.60 : x
  2. Step 2: Convert to fraction form
    82,256.20/123,413.10 = 35,542.60/x
  3. Step 3: Cross multiply
    82,256.20x = 123,413.10 × 35,542.60
  4. Step 4: Simplify right side
    82,256.20x = 4,386,422,448.06
  5. Step 5: Solve for x
    x = 4,386,422,448.06/82,256.20
  6. Step 6: Final answer
    x = 53,326.34

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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.