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Finding the Fourth Proportional to 101,733.49, 140,393.89 and 56,413.38

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Solution

The fourth proportional to 101,733.49, 140,393.89 and 56,413.38 is: 77,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,733.49 : 140,393.89 = 56,413.38 : x
  2. Step 2: Convert to fraction form
    101,733.49/140,393.89 = 56,413.38/x
  3. Step 3: Cross multiply
    101,733.49x = 140,393.89 × 56,413.38
  4. Step 4: Simplify right side
    101,733.49x = 7,920,093,673.53
  5. Step 5: Solve for x
    x = 7,920,093,673.53/101,733.49
  6. Step 6: Final answer
    x = 77,851.39

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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.