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Finding the Fourth Proportional to 111,413.68, 167,108.63 and 31,449.68

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Solution

The fourth proportional to 111,413.68, 167,108.63 and 31,449.68 is: 47,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,413.68 : 167,108.63 = 31,449.68 : x
  2. Step 2: Convert to fraction form
    111,413.68/167,108.63 = 31,449.68/x
  3. Step 3: Cross multiply
    111,413.68x = 167,108.63 × 31,449.68
  4. Step 4: Simplify right side
    111,413.68x = 5,255,512,938.74
  5. Step 5: Solve for x
    x = 5,255,512,938.74/111,413.68
  6. Step 6: Final answer
    x = 47,171.16

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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.