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Finding the Fourth Proportional to 47,772, 71,658 and 18,588

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Solution

The fourth proportional to 47,772, 71,658 and 18,588 is: 27,882

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772 : 71,658 = 18,588 : x
  2. Step 2: Convert to fraction form
    47,772/71,658 = 18,588/x
  3. Step 3: Cross multiply
    47,772x = 71,658 × 18,588
  4. Step 4: Simplify right side
    47,772x = 1,331,978,904
  5. Step 5: Solve for x
    x = 1,331,978,904/47,772
  6. Step 6: Final answer
    x = 27,882

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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.