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Finding the Fourth Proportional to 48,250, 72,413.88 and 24,883.12

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Solution

The fourth proportional to 48,250, 72,413.88 and 24,883.12 is: 37,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,250 : 72,413.88 = 24,883.12 : x
  2. Step 2: Convert to fraction form
    48,250/72,413.88 = 24,883.12/x
  3. Step 3: Cross multiply
    48,250x = 72,413.88 × 24,883.12
  4. Step 4: Simplify right side
    48,250x = 1,801,883,265.71
  5. Step 5: Solve for x
    x = 1,801,883,265.71/48,250
  6. Step 6: Final answer
    x = 37,344.73

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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.