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Finding the Fourth Proportional to 50,146, 75,219 and 13,210

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Solution

The fourth proportional to 50,146, 75,219 and 13,210 is: 19,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,146 : 75,219 = 13,210 : x
  2. Step 2: Convert to fraction form
    50,146/75,219 = 13,210/x
  3. Step 3: Cross multiply
    50,146x = 75,219 × 13,210
  4. Step 4: Simplify right side
    50,146x = 993,642,990
  5. Step 5: Solve for x
    x = 993,642,990/50,146
  6. Step 6: Final answer
    x = 19,815

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.