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Finding the Fourth Proportional to 68,180.82, 102,268.80 and 23,807.40

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Solution

The fourth proportional to 68,180.82, 102,268.80 and 23,807.40 is: 35,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180.82 : 102,268.80 = 23,807.40 : x
  2. Step 2: Convert to fraction form
    68,180.82/102,268.80 = 23,807.40/x
  3. Step 3: Cross multiply
    68,180.82x = 102,268.80 × 23,807.40
  4. Step 4: Simplify right side
    68,180.82x = 2,434,754,229.12
  5. Step 5: Solve for x
    x = 2,434,754,229.12/68,180.82
  6. Step 6: Final answer
    x = 35,710.25

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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.