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Finding the Fourth Proportional to 82,413.20, 123,658.20 and 61,677.20

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Solution

The fourth proportional to 82,413.20, 123,658.20 and 61,677.20 is: 92,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413.20 : 123,658.20 = 61,677.20 : x
  2. Step 2: Convert to fraction form
    82,413.20/123,658.20 = 61,677.20/x
  3. Step 3: Cross multiply
    82,413.20x = 123,658.20 × 61,677.20
  4. Step 4: Simplify right side
    82,413.20x = 7,626,891,533.04
  5. Step 5: Solve for x
    x = 7,626,891,533.04/82,413.20
  6. Step 6: Final answer
    x = 92,544.54

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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.