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Finding the Fourth Proportional to 47,181.73, 70,777.05 and 15,592

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Solution

The fourth proportional to 47,181.73, 70,777.05 and 15,592 is: 23,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,181.73 : 70,777.05 = 15,592 : x
  2. Step 2: Convert to fraction form
    47,181.73/70,777.05 = 15,592/x
  3. Step 3: Cross multiply
    47,181.73x = 70,777.05 × 15,592
  4. Step 4: Simplify right side
    47,181.73x = 1,103,555,763.60
  5. Step 5: Solve for x
    x = 1,103,555,763.60/47,181.73
  6. Step 6: Final answer
    x = 23,389.47

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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.