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Finding the Fourth Proportional to 65,274.92, 97,913.23 and 20,901.67

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Solution

The fourth proportional to 65,274.92, 97,913.23 and 20,901.67 is: 31,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.92 : 97,913.23 = 20,901.67 : x
  2. Step 2: Convert to fraction form
    65,274.92/97,913.23 = 20,901.67/x
  3. Step 3: Cross multiply
    65,274.92x = 97,913.23 × 20,901.67
  4. Step 4: Simplify right side
    65,274.92x = 2,046,550,022.09
  5. Step 5: Solve for x
    x = 2,046,550,022.09/65,274.92
  6. Step 6: Final answer
    x = 31,352.78

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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.