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Finding the Fourth Proportional to 75,413.41, 104,058.93 and 43,576.14

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Solution

The fourth proportional to 75,413.41, 104,058.93 and 43,576.14 is: 60,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.41 : 104,058.93 = 43,576.14 : x
  2. Step 2: Convert to fraction form
    75,413.41/104,058.93 = 43,576.14/x
  3. Step 3: Cross multiply
    75,413.41x = 104,058.93 × 43,576.14
  4. Step 4: Simplify right side
    75,413.41x = 4,534,486,501.93
  5. Step 5: Solve for x
    x = 4,534,486,501.93/75,413.41
  6. Step 6: Final answer
    x = 60,128.38

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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.