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Finding the Fourth Proportional to 48,851.42, 67,413.86 and 27,630.66

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Solution

The fourth proportional to 48,851.42, 67,413.86 and 27,630.66 is: 38,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,851.42 : 67,413.86 = 27,630.66 : x
  2. Step 2: Convert to fraction form
    48,851.42/67,413.86 = 27,630.66/x
  3. Step 3: Cross multiply
    48,851.42x = 67,413.86 × 27,630.66
  4. Step 4: Simplify right side
    48,851.42x = 1,862,689,444.95
  5. Step 5: Solve for x
    x = 1,862,689,444.95/48,851.42
  6. Step 6: Final answer
    x = 38,129.69

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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.