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Finding the Fourth Proportional to 45,981, 68,971.50 and 13,149

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Solution

The fourth proportional to 45,981, 68,971.50 and 13,149 is: 19,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 68,971.50 = 13,149 : x
  2. Step 2: Convert to fraction form
    45,981/68,971.50 = 13,149/x
  3. Step 3: Cross multiply
    45,981x = 68,971.50 × 13,149
  4. Step 4: Simplify right side
    45,981x = 906,906,253.50
  5. Step 5: Solve for x
    x = 906,906,253.50/45,981
  6. Step 6: Final answer
    x = 19,723.50

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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.