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Finding the Fourth Proportional to 84,661.66, 116,828.22 and 46,413.82

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Solution

The fourth proportional to 84,661.66, 116,828.22 and 46,413.82 is: 64,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,661.66 : 116,828.22 = 46,413.82 : x
  2. Step 2: Convert to fraction form
    84,661.66/116,828.22 = 46,413.82/x
  3. Step 3: Cross multiply
    84,661.66x = 116,828.22 × 46,413.82
  4. Step 4: Simplify right side
    84,661.66x = 5,422,443,974.00
  5. Step 5: Solve for x
    x = 5,422,443,974.00/84,661.66
  6. Step 6: Final answer
    x = 64,048.40

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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.