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Finding the Fourth Proportional to 108,321.81, 162,413.49 and 52,049.94

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Solution

The fourth proportional to 108,321.81, 162,413.49 and 52,049.94 is: 78,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,321.81 : 162,413.49 = 52,049.94 : x
  2. Step 2: Convert to fraction form
    108,321.81/162,413.49 = 52,049.94/x
  3. Step 3: Cross multiply
    108,321.81x = 162,413.49 × 52,049.94
  4. Step 4: Simplify right side
    108,321.81x = 8,453,612,409.69
  5. Step 5: Solve for x
    x = 8,453,612,409.69/108,321.81
  6. Step 6: Final answer
    x = 78,041.65

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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.