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Finding the Fourth Proportional to 49,950, 74,925 and 13,014

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Solution

The fourth proportional to 49,950, 74,925 and 13,014 is: 19,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,950 : 74,925 = 13,014 : x
  2. Step 2: Convert to fraction form
    49,950/74,925 = 13,014/x
  3. Step 3: Cross multiply
    49,950x = 74,925 × 13,014
  4. Step 4: Simplify right side
    49,950x = 975,073,950
  5. Step 5: Solve for x
    x = 975,073,950/49,950
  6. Step 6: Final answer
    x = 19,521

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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.