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Finding the Fourth Proportional to 55,904.82, 83,857.80 and 16,462.68

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Solution

The fourth proportional to 55,904.82, 83,857.80 and 16,462.68 is: 24,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,904.82 : 83,857.80 = 16,462.68 : x
  2. Step 2: Convert to fraction form
    55,904.82/83,857.80 = 16,462.68/x
  3. Step 3: Cross multiply
    55,904.82x = 83,857.80 × 16,462.68
  4. Step 4: Simplify right side
    55,904.82x = 1,380,524,126.90
  5. Step 5: Solve for x
    x = 1,380,524,126.90/55,904.82
  6. Step 6: Final answer
    x = 24,694.19

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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.