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Finding the Fourth Proportional to 65,413.26, 90,271.26 and 36,739.14

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Solution

The fourth proportional to 65,413.26, 90,271.26 and 36,739.14 is: 50,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.26 : 90,271.26 = 36,739.14 : x
  2. Step 2: Convert to fraction form
    65,413.26/90,271.26 = 36,739.14/x
  3. Step 3: Cross multiply
    65,413.26x = 90,271.26 × 36,739.14
  4. Step 4: Simplify right side
    65,413.26x = 3,316,488,459.12
  5. Step 5: Solve for x
    x = 3,316,488,459.12/65,413.26
  6. Step 6: Final answer
    x = 50,700.55

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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.