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Finding the Fourth Proportional to 65,020.88, 97,534.69 and 20,651.10

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Solution

The fourth proportional to 65,020.88, 97,534.69 and 20,651.10 is: 30,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.88 : 97,534.69 = 20,651.10 : x
  2. Step 2: Convert to fraction form
    65,020.88/97,534.69 = 20,651.10/x
  3. Step 3: Cross multiply
    65,020.88x = 97,534.69 × 20,651.10
  4. Step 4: Simplify right side
    65,020.88x = 2,014,198,636.66
  5. Step 5: Solve for x
    x = 2,014,198,636.66/65,020.88
  6. Step 6: Final answer
    x = 30,977.72

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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.