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Finding the Fourth Proportional to 54,413.76, 75,090.24 and 30,540

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Solution

The fourth proportional to 54,413.76, 75,090.24 and 30,540 is: 42,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413.76 : 75,090.24 = 30,540 : x
  2. Step 2: Convert to fraction form
    54,413.76/75,090.24 = 30,540/x
  3. Step 3: Cross multiply
    54,413.76x = 75,090.24 × 30,540
  4. Step 4: Simplify right side
    54,413.76x = 2,293,255,929.60
  5. Step 5: Solve for x
    x = 2,293,255,929.60/54,413.76
  6. Step 6: Final answer
    x = 42,144.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.