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Finding the Fourth Proportional to 45,122, 67,683 and 12,290

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Solution

The fourth proportional to 45,122, 67,683 and 12,290 is: 18,435

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,122 : 67,683 = 12,290 : x
  2. Step 2: Convert to fraction form
    45,122/67,683 = 12,290/x
  3. Step 3: Cross multiply
    45,122x = 67,683 × 12,290
  4. Step 4: Simplify right side
    45,122x = 831,824,070
  5. Step 5: Solve for x
    x = 831,824,070/45,122
  6. Step 6: Final answer
    x = 18,435

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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.