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Finding the Fourth Proportional to 68,014.63, 102,022.85 and 23,642.22

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Solution

The fourth proportional to 68,014.63, 102,022.85 and 23,642.22 is: 35,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014.63 : 102,022.85 = 23,642.22 : x
  2. Step 2: Convert to fraction form
    68,014.63/102,022.85 = 23,642.22/x
  3. Step 3: Cross multiply
    68,014.63x = 102,022.85 × 23,642.22
  4. Step 4: Simplify right side
    68,014.63x = 2,412,046,664.73
  5. Step 5: Solve for x
    x = 2,412,046,664.73/68,014.63
  6. Step 6: Final answer
    x = 35,463.64

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1.5x scale

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.