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Finding the Fourth Proportional to 65,813.73, 98,735.19 and 30,734.25

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Solution

The fourth proportional to 65,813.73, 98,735.19 and 30,734.25 is: 46,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.73 : 98,735.19 = 30,734.25 : x
  2. Step 2: Convert to fraction form
    65,813.73/98,735.19 = 30,734.25/x
  3. Step 3: Cross multiply
    65,813.73x = 98,735.19 × 30,734.25
  4. Step 4: Simplify right side
    65,813.73x = 3,034,552,013.26
  5. Step 5: Solve for x
    x = 3,034,552,013.26/65,813.73
  6. Step 6: Final answer
    x = 46,108.19

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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.