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Finding the Fourth Proportional to 35,577.90, 49,098.54 and 19,663.38

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Solution

The fourth proportional to 35,577.90, 49,098.54 and 19,663.38 is: 27,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577.90 : 49,098.54 = 19,663.38 : x
  2. Step 2: Convert to fraction form
    35,577.90/49,098.54 = 19,663.38/x
  3. Step 3: Cross multiply
    35,577.90x = 49,098.54 × 19,663.38
  4. Step 4: Simplify right side
    35,577.90x = 965,443,249.47
  5. Step 5: Solve for x
    x = 965,443,249.47/35,577.90
  6. Step 6: Final answer
    x = 27,136.04

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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.