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Finding the Fourth Proportional to 50,982, 76,473 and 14,046

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Solution

The fourth proportional to 50,982, 76,473 and 14,046 is: 21,069

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982 : 76,473 = 14,046 : x
  2. Step 2: Convert to fraction form
    50,982/76,473 = 14,046/x
  3. Step 3: Cross multiply
    50,982x = 76,473 × 14,046
  4. Step 4: Simplify right side
    50,982x = 1,074,139,758
  5. Step 5: Solve for x
    x = 1,074,139,758/50,982
  6. Step 6: Final answer
    x = 21,069

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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.