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Finding the Fourth Proportional to 61,940.82, 92,911.74 and 19,821.24

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Solution

The fourth proportional to 61,940.82, 92,911.74 and 19,821.24 is: 29,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,940.82 : 92,911.74 = 19,821.24 : x
  2. Step 2: Convert to fraction form
    61,940.82/92,911.74 = 19,821.24/x
  3. Step 3: Cross multiply
    61,940.82x = 92,911.74 × 19,821.24
  4. Step 4: Simplify right side
    61,940.82x = 1,841,625,897.36
  5. Step 5: Solve for x
    x = 1,841,625,897.36/61,940.82
  6. Step 6: Final answer
    x = 29,732.02

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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.