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Finding the Fourth Proportional to 69,817.12, 96,350.16 and 40,014.88

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Solution

The fourth proportional to 69,817.12, 96,350.16 and 40,014.88 is: 55,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,817.12 : 96,350.16 = 40,014.88 : x
  2. Step 2: Convert to fraction form
    69,817.12/96,350.16 = 40,014.88/x
  3. Step 3: Cross multiply
    69,817.12x = 96,350.16 × 40,014.88
  4. Step 4: Simplify right side
    69,817.12x = 3,855,440,090.38
  5. Step 5: Solve for x
    x = 3,855,440,090.38/69,817.12
  6. Step 6: Final answer
    x = 55,221.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.