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Finding the Fourth Proportional to 47,682, 71,523 and 14,850

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Solution

The fourth proportional to 47,682, 71,523 and 14,850 is: 22,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 71,523 = 14,850 : x
  2. Step 2: Convert to fraction form
    47,682/71,523 = 14,850/x
  3. Step 3: Cross multiply
    47,682x = 71,523 × 14,850
  4. Step 4: Simplify right side
    47,682x = 1,062,116,550
  5. Step 5: Solve for x
    x = 1,062,116,550/47,682
  6. Step 6: Final answer
    x = 22,275

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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.