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Finding the Fourth Proportional to 65,006.50, 89,708.97 and 35,198.50

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Solution

The fourth proportional to 65,006.50, 89,708.97 and 35,198.50 is: 48,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.50 : 89,708.97 = 35,198.50 : x
  2. Step 2: Convert to fraction form
    65,006.50/89,708.97 = 35,198.50/x
  3. Step 3: Cross multiply
    65,006.50x = 89,708.97 × 35,198.50
  4. Step 4: Simplify right side
    65,006.50x = 3,157,621,180.55
  5. Step 5: Solve for x
    x = 3,157,621,180.55/65,006.50
  6. Step 6: Final answer
    x = 48,573.93

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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.