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Finding the Fourth Proportional to 48,843, 67,413.42 and 27,623.16

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Solution

The fourth proportional to 48,843, 67,413.42 and 27,623.16 is: 38,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,843 : 67,413.42 = 27,623.16 : x
  2. Step 2: Convert to fraction form
    48,843/67,413.42 = 27,623.16/x
  3. Step 3: Cross multiply
    48,843x = 67,413.42 × 27,623.16
  4. Step 4: Simplify right side
    48,843x = 1,862,171,686.81
  5. Step 5: Solve for x
    x = 1,862,171,686.81/48,843
  6. Step 6: Final answer
    x = 38,125.66

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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.