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Finding the Fourth Proportional to 51,042.36, 70,413.93 and 33,142.98

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Solution

The fourth proportional to 51,042.36, 70,413.93 and 33,142.98 is: 45,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,042.36 : 70,413.93 = 33,142.98 : x
  2. Step 2: Convert to fraction form
    51,042.36/70,413.93 = 33,142.98/x
  3. Step 3: Cross multiply
    51,042.36x = 70,413.93 × 33,142.98
  4. Step 4: Simplify right side
    51,042.36x = 2,333,727,473.71
  5. Step 5: Solve for x
    x = 2,333,727,473.71/51,042.36
  6. Step 6: Final answer
    x = 45,721.39

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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.