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Finding the Fourth Proportional to 47,381, 71,071.86 and 16,216.52

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Solution

The fourth proportional to 47,381, 71,071.86 and 16,216.52 is: 24,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381 : 71,071.86 = 16,216.52 : x
  2. Step 2: Convert to fraction form
    47,381/71,071.86 = 16,216.52/x
  3. Step 3: Cross multiply
    47,381x = 71,071.86 × 16,216.52
  4. Step 4: Simplify right side
    47,381x = 1,152,538,239.13
  5. Step 5: Solve for x
    x = 1,152,538,239.13/47,381
  6. Step 6: Final answer
    x = 24,324.90

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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.