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Finding the Fourth Proportional to 52,747.31, 79,127.16 and 18,542.63

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Solution

The fourth proportional to 52,747.31, 79,127.16 and 18,542.63 is: 27,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,747.31 : 79,127.16 = 18,542.63 : x
  2. Step 2: Convert to fraction form
    52,747.31/79,127.16 = 18,542.63/x
  3. Step 3: Cross multiply
    52,747.31x = 79,127.16 × 18,542.63
  4. Step 4: Simplify right side
    52,747.31x = 1,467,225,650.83
  5. Step 5: Solve for x
    x = 1,467,225,650.83/52,747.31
  6. Step 6: Final answer
    x = 27,816.12

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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.