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Finding the Fourth Proportional to 47,583.98, 71,376.47 and 19,496.82

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Solution

The fourth proportional to 47,583.98, 71,376.47 and 19,496.82 is: 29,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,583.98 : 71,376.47 = 19,496.82 : x
  2. Step 2: Convert to fraction form
    47,583.98/71,376.47 = 19,496.82/x
  3. Step 3: Cross multiply
    47,583.98x = 71,376.47 × 19,496.82
  4. Step 4: Simplify right side
    47,583.98x = 1,391,614,187.83
  5. Step 5: Solve for x
    x = 1,391,614,187.83/47,583.98
  6. Step 6: Final answer
    x = 29,245.43

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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.