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Finding the Fourth Proportional to 45,853.06, 68,776.74 and 16,267

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Solution

The fourth proportional to 45,853.06, 68,776.74 and 16,267 is: 24,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,853.06 : 68,776.74 = 16,267 : x
  2. Step 2: Convert to fraction form
    45,853.06/68,776.74 = 16,267/x
  3. Step 3: Cross multiply
    45,853.06x = 68,776.74 × 16,267
  4. Step 4: Simplify right side
    45,853.06x = 1,118,791,229.58
  5. Step 5: Solve for x
    x = 1,118,791,229.58/45,853.06
  6. Step 6: Final answer
    x = 24,399.49

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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.