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Finding the Fourth Proportional to 55,892.45, 83,846.99 and 18,456.48

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Solution

The fourth proportional to 55,892.45, 83,846.99 and 18,456.48 is: 27,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.45 : 83,846.99 = 18,456.48 : x
  2. Step 2: Convert to fraction form
    55,892.45/83,846.99 = 18,456.48/x
  3. Step 3: Cross multiply
    55,892.45x = 83,846.99 × 18,456.48
  4. Step 4: Simplify right side
    55,892.45x = 1,547,520,340.14
  5. Step 5: Solve for x
    x = 1,547,520,340.14/55,892.45
  6. Step 6: Final answer
    x = 27,687.47

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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.