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Finding the Fourth Proportional to 65,454.33, 97,987.73 and 40,413.86

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Solution

The fourth proportional to 65,454.33, 97,987.73 and 40,413.86 is: 60,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.33 : 97,987.73 = 40,413.86 : x
  2. Step 2: Convert to fraction form
    65,454.33/97,987.73 = 40,413.86/x
  3. Step 3: Cross multiply
    65,454.33x = 97,987.73 × 40,413.86
  4. Step 4: Simplify right side
    65,454.33x = 3,960,062,675.97
  5. Step 5: Solve for x
    x = 3,960,062,675.97/65,454.33
  6. Step 6: Final answer
    x = 60,501.16

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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.