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Finding the Fourth Proportional to 102,876.48, 141,972.56 and 57,553.41

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Solution

The fourth proportional to 102,876.48, 141,972.56 and 57,553.41 is: 79,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,876.48 : 141,972.56 = 57,553.41 : x
  2. Step 2: Convert to fraction form
    102,876.48/141,972.56 = 57,553.41/x
  3. Step 3: Cross multiply
    102,876.48x = 141,972.56 × 57,553.41
  4. Step 4: Simplify right side
    102,876.48x = 8,171,004,954.43
  5. Step 5: Solve for x
    x = 8,171,004,954.43/102,876.48
  6. Step 6: Final answer
    x = 79,425.39

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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.