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Finding the Fourth Proportional to 51,518, 77,277 and 14,582

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Solution

The fourth proportional to 51,518, 77,277 and 14,582 is: 21,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,518 : 77,277 = 14,582 : x
  2. Step 2: Convert to fraction form
    51,518/77,277 = 14,582/x
  3. Step 3: Cross multiply
    51,518x = 77,277 × 14,582
  4. Step 4: Simplify right side
    51,518x = 1,126,853,214
  5. Step 5: Solve for x
    x = 1,126,853,214/51,518
  6. Step 6: Final answer
    x = 21,873

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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.