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Finding the Fourth Proportional to 65,120.62, 97,655.37 and 22,991.71

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Solution

The fourth proportional to 65,120.62, 97,655.37 and 22,991.71 is: 34,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120.62 : 97,655.37 = 22,991.71 : x
  2. Step 2: Convert to fraction form
    65,120.62/97,655.37 = 22,991.71/x
  3. Step 3: Cross multiply
    65,120.62x = 97,655.37 × 22,991.71
  4. Step 4: Simplify right side
    65,120.62x = 2,245,263,946.98
  5. Step 5: Solve for x
    x = 2,245,263,946.98/65,120.62
  6. Step 6: Final answer
    x = 34,478.54

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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.