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Finding the Fourth Proportional to 65,217.70, 97,826.55 and 15,969.70

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Solution

The fourth proportional to 65,217.70, 97,826.55 and 15,969.70 is: 23,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.70 : 97,826.55 = 15,969.70 : x
  2. Step 2: Convert to fraction form
    65,217.70/97,826.55 = 15,969.70/x
  3. Step 3: Cross multiply
    65,217.70x = 97,826.55 × 15,969.70
  4. Step 4: Simplify right side
    65,217.70x = 1,562,260,655.54
  5. Step 5: Solve for x
    x = 1,562,260,655.54/65,217.70
  6. Step 6: Final answer
    x = 23,954.55

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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.