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Finding the Fourth Proportional to 82,413.72, 113,730.99 and 44,687.97

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Solution

The fourth proportional to 82,413.72, 113,730.99 and 44,687.97 is: 61,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413.72 : 113,730.99 = 44,687.97 : x
  2. Step 2: Convert to fraction form
    82,413.72/113,730.99 = 44,687.97/x
  3. Step 3: Cross multiply
    82,413.72x = 113,730.99 × 44,687.97
  4. Step 4: Simplify right side
    82,413.72x = 5,082,407,069.19
  5. Step 5: Solve for x
    x = 5,082,407,069.19/82,413.72
  6. Step 6: Final answer
    x = 61,669.43

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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.