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Finding the Fourth Proportional to 35,881.47, 49,516.43 and 19,966.94

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Solution

The fourth proportional to 35,881.47, 49,516.43 and 19,966.94 is: 27,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.47 : 49,516.43 = 19,966.94 : x
  2. Step 2: Convert to fraction form
    35,881.47/49,516.43 = 19,966.94/x
  3. Step 3: Cross multiply
    35,881.47x = 49,516.43 × 19,966.94
  4. Step 4: Simplify right side
    35,881.47x = 988,691,586.82
  5. Step 5: Solve for x
    x = 988,691,586.82/35,881.47
  6. Step 6: Final answer
    x = 27,554.38

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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.