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Finding the Fourth Proportional to 45,378.82, 68,068.26 and 14,216.50

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Solution

The fourth proportional to 45,378.82, 68,068.26 and 14,216.50 is: 21,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,378.82 : 68,068.26 = 14,216.50 : x
  2. Step 2: Convert to fraction form
    45,378.82/68,068.26 = 14,216.50/x
  3. Step 3: Cross multiply
    45,378.82x = 68,068.26 × 14,216.50
  4. Step 4: Simplify right side
    45,378.82x = 967,692,418.29
  5. Step 5: Solve for x
    x = 967,692,418.29/45,378.82
  6. Step 6: Final answer
    x = 21,324.76

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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.