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Finding the Fourth Proportional to 82,138.89, 113,351.43 and 44,413.14

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Solution

The fourth proportional to 82,138.89, 113,351.43 and 44,413.14 is: 61,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.89 : 113,351.43 = 44,413.14 : x
  2. Step 2: Convert to fraction form
    82,138.89/113,351.43 = 44,413.14/x
  3. Step 3: Cross multiply
    82,138.89x = 113,351.43 × 44,413.14
  4. Step 4: Simplify right side
    82,138.89x = 5,034,292,929.79
  5. Step 5: Solve for x
    x = 5,034,292,929.79/82,138.89
  6. Step 6: Final answer
    x = 61,290.00

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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.