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Finding the Fourth Proportional to 45,967.80, 68,943.48 and 12,234

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Solution

The fourth proportional to 45,967.80, 68,943.48 and 12,234 is: 18,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967.80 : 68,943.48 = 12,234 : x
  2. Step 2: Convert to fraction form
    45,967.80/68,943.48 = 12,234/x
  3. Step 3: Cross multiply
    45,967.80x = 68,943.48 × 12,234
  4. Step 4: Simplify right side
    45,967.80x = 843,454,534.32
  5. Step 5: Solve for x
    x = 843,454,534.32/45,967.80
  6. Step 6: Final answer
    x = 18,348.81

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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.