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Finding the Fourth Proportional to 49,014, 73,521 and 12,078

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Solution

The fourth proportional to 49,014, 73,521 and 12,078 is: 18,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014 : 73,521 = 12,078 : x
  2. Step 2: Convert to fraction form
    49,014/73,521 = 12,078/x
  3. Step 3: Cross multiply
    49,014x = 73,521 × 12,078
  4. Step 4: Simplify right side
    49,014x = 887,986,638
  5. Step 5: Solve for x
    x = 887,986,638/49,014
  6. Step 6: Final answer
    x = 18,117

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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.