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Finding the Fourth Proportional to 65,838.50, 98,734.38 and 23,707.27

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Solution

The fourth proportional to 65,838.50, 98,734.38 and 23,707.27 is: 35,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.50 : 98,734.38 = 23,707.27 : x
  2. Step 2: Convert to fraction form
    65,838.50/98,734.38 = 23,707.27/x
  3. Step 3: Cross multiply
    65,838.50x = 98,734.38 × 23,707.27
  4. Step 4: Simplify right side
    65,838.50x = 2,340,722,604.94
  5. Step 5: Solve for x
    x = 2,340,722,604.94/65,838.50
  6. Step 6: Final answer
    x = 35,552.49

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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.