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Finding the Fourth Proportional to 90,590.67, 135,802.17 and 34,413.93

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Solution

The fourth proportional to 90,590.67, 135,802.17 and 34,413.93 is: 51,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,590.67 : 135,802.17 = 34,413.93 : x
  2. Step 2: Convert to fraction form
    90,590.67/135,802.17 = 34,413.93/x
  3. Step 3: Cross multiply
    90,590.67x = 135,802.17 × 34,413.93
  4. Step 4: Simplify right side
    90,590.67x = 4,673,486,372.23
  5. Step 5: Solve for x
    x = 4,673,486,372.23/90,590.67
  6. Step 6: Final answer
    x = 51,589.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.