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Finding the Fourth Proportional to 47,683, 71,524.50 and 14,851

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Solution

The fourth proportional to 47,683, 71,524.50 and 14,851 is: 22,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683 : 71,524.50 = 14,851 : x
  2. Step 2: Convert to fraction form
    47,683/71,524.50 = 14,851/x
  3. Step 3: Cross multiply
    47,683x = 71,524.50 × 14,851
  4. Step 4: Simplify right side
    47,683x = 1,062,210,349.50
  5. Step 5: Solve for x
    x = 1,062,210,349.50/47,683
  6. Step 6: Final answer
    x = 22,276.50

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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.