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Finding the Fourth Proportional to 47,384, 71,076.36 and 16,219.52

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Solution

The fourth proportional to 47,384, 71,076.36 and 16,219.52 is: 24,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,384 : 71,076.36 = 16,219.52 : x
  2. Step 2: Convert to fraction form
    47,384/71,076.36 = 16,219.52/x
  3. Step 3: Cross multiply
    47,384x = 71,076.36 × 16,219.52
  4. Step 4: Simplify right side
    47,384x = 1,152,824,442.55
  5. Step 5: Solve for x
    x = 1,152,824,442.55/47,384
  6. Step 6: Final answer
    x = 24,329.40

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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.