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Finding the Fourth Proportional to 85,802.22, 118,413.63 and 53,998.38

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Solution

The fourth proportional to 85,802.22, 118,413.63 and 53,998.38 is: 74,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,802.22 : 118,413.63 = 53,998.38 : x
  2. Step 2: Convert to fraction form
    85,802.22/118,413.63 = 53,998.38/x
  3. Step 3: Cross multiply
    85,802.22x = 118,413.63 × 53,998.38
  4. Step 4: Simplify right side
    85,802.22x = 6,394,144,189.92
  5. Step 5: Solve for x
    x = 6,394,144,189.92/85,802.22
  6. Step 6: Final answer
    x = 74,521.90

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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.