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Finding the Fourth Proportional to 82,908, 114,413.85 and 45,183.06

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Solution

The fourth proportional to 82,908, 114,413.85 and 45,183.06 is: 62,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908 : 114,413.85 = 45,183.06 : x
  2. Step 2: Convert to fraction form
    82,908/114,413.85 = 45,183.06/x
  3. Step 3: Cross multiply
    82,908x = 114,413.85 × 45,183.06
  4. Step 4: Simplify right side
    82,908x = 5,169,567,849.38
  5. Step 5: Solve for x
    x = 5,169,567,849.38/82,908
  6. Step 6: Final answer
    x = 62,353.06

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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.