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Finding the Fourth Proportional to 68,681.80, 103,022.70 and 24,308.20

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Solution

The fourth proportional to 68,681.80, 103,022.70 and 24,308.20 is: 36,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,681.80 : 103,022.70 = 24,308.20 : x
  2. Step 2: Convert to fraction form
    68,681.80/103,022.70 = 24,308.20/x
  3. Step 3: Cross multiply
    68,681.80x = 103,022.70 × 24,308.20
  4. Step 4: Simplify right side
    68,681.80x = 2,504,296,396.14
  5. Step 5: Solve for x
    x = 2,504,296,396.14/68,681.80
  6. Step 6: Final answer
    x = 36,462.30

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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.