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Finding the Fourth Proportional to 45,278.68, 67,914.78 and 14,113

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Solution

The fourth proportional to 45,278.68, 67,914.78 and 14,113 is: 21,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,278.68 : 67,914.78 = 14,113 : x
  2. Step 2: Convert to fraction form
    45,278.68/67,914.78 = 14,113/x
  3. Step 3: Cross multiply
    45,278.68x = 67,914.78 × 14,113
  4. Step 4: Simplify right side
    45,278.68x = 958,481,290.14
  5. Step 5: Solve for x
    x = 958,481,290.14/45,278.68
  6. Step 6: Final answer
    x = 21,168.49

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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.