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Finding the Fourth Proportional to 35,983.44, 53,946 and 30,413.88

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Solution

The fourth proportional to 35,983.44, 53,946 and 30,413.88 is: 45,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.44 : 53,946 = 30,413.88 : x
  2. Step 2: Convert to fraction form
    35,983.44/53,946 = 30,413.88/x
  3. Step 3: Cross multiply
    35,983.44x = 53,946 × 30,413.88
  4. Step 4: Simplify right side
    35,983.44x = 1,640,707,170.48
  5. Step 5: Solve for x
    x = 1,640,707,170.48/35,983.44
  6. Step 6: Final answer
    x = 45,596.17

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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.