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Finding the Fourth Proportional to 45,851, 68,788.06 and 13,019

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Solution

The fourth proportional to 45,851, 68,788.06 and 13,019 is: 19,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851 : 68,788.06 = 13,019 : x
  2. Step 2: Convert to fraction form
    45,851/68,788.06 = 13,019/x
  3. Step 3: Cross multiply
    45,851x = 68,788.06 × 13,019
  4. Step 4: Simplify right side
    45,851x = 895,551,753.14
  5. Step 5: Solve for x
    x = 895,551,753.14/45,851
  6. Step 6: Final answer
    x = 19,531.78

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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.