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Finding the Fourth Proportional to 55,859.46, 83,789.21 and 16,416.58

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Solution

The fourth proportional to 55,859.46, 83,789.21 and 16,416.58 is: 24,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,859.46 : 83,789.21 = 16,416.58 : x
  2. Step 2: Convert to fraction form
    55,859.46/83,789.21 = 16,416.58/x
  3. Step 3: Cross multiply
    55,859.46x = 83,789.21 × 16,416.58
  4. Step 4: Simplify right side
    55,859.46x = 1,375,532,269.10
  5. Step 5: Solve for x
    x = 1,375,532,269.10/55,859.46
  6. Step 6: Final answer
    x = 24,624.88

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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.