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Finding the Fourth Proportional to 84,413.94, 116,514.27 and 52,564.02

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Solution

The fourth proportional to 84,413.94, 116,514.27 and 52,564.02 is: 72,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413.94 : 116,514.27 = 52,564.02 : x
  2. Step 2: Convert to fraction form
    84,413.94/116,514.27 = 52,564.02/x
  3. Step 3: Cross multiply
    84,413.94x = 116,514.27 × 52,564.02
  4. Step 4: Simplify right side
    84,413.94x = 6,124,458,418.57
  5. Step 5: Solve for x
    x = 6,124,458,418.57/84,413.94
  6. Step 6: Final answer
    x = 72,552.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.