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Finding the Fourth Proportional to 64,161.81, 96,241.10 and 17,413.47

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Solution

The fourth proportional to 64,161.81, 96,241.10 and 17,413.47 is: 26,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,161.81 : 96,241.10 = 17,413.47 : x
  2. Step 2: Convert to fraction form
    64,161.81/96,241.10 = 17,413.47/x
  3. Step 3: Cross multiply
    64,161.81x = 96,241.10 × 17,413.47
  4. Step 4: Simplify right side
    64,161.81x = 1,675,891,420.55
  5. Step 5: Solve for x
    x = 1,675,891,420.55/64,161.81
  6. Step 6: Final answer
    x = 26,119.77

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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.