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Finding the Fourth Proportional to 45,821.98, 63,234.22 and 27,916.98

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Solution

The fourth proportional to 45,821.98, 63,234.22 and 27,916.98 is: 38,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,821.98 : 63,234.22 = 27,916.98 : x
  2. Step 2: Convert to fraction form
    45,821.98/63,234.22 = 27,916.98/x
  3. Step 3: Cross multiply
    45,821.98x = 63,234.22 × 27,916.98
  4. Step 4: Simplify right side
    45,821.98x = 1,765,308,455.06
  5. Step 5: Solve for x
    x = 1,765,308,455.06/45,821.98
  6. Step 6: Final answer
    x = 38,525.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.