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Finding the Fourth Proportional to 65,012.44, 97,508.70 and 20,633.44

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Solution

The fourth proportional to 65,012.44, 97,508.70 and 20,633.44 is: 30,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.44 : 97,508.70 = 20,633.44 : x
  2. Step 2: Convert to fraction form
    65,012.44/97,508.70 = 20,633.44/x
  3. Step 3: Cross multiply
    65,012.44x = 97,508.70 × 20,633.44
  4. Step 4: Simplify right side
    65,012.44x = 2,011,939,910.93
  5. Step 5: Solve for x
    x = 2,011,939,910.93/65,012.44
  6. Step 6: Final answer
    x = 30,947.00

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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.