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Finding the Fourth Proportional to 55,894.73, 83,813.23 and 16,446.71

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Solution

The fourth proportional to 55,894.73, 83,813.23 and 16,446.71 is: 24,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.73 : 83,813.23 = 16,446.71 : x
  2. Step 2: Convert to fraction form
    55,894.73/83,813.23 = 16,446.71/x
  3. Step 3: Cross multiply
    55,894.73x = 83,813.23 × 16,446.71
  4. Step 4: Simplify right side
    55,894.73x = 1,378,452,118.06
  5. Step 5: Solve for x
    x = 1,378,452,118.06/55,894.73
  6. Step 6: Final answer
    x = 24,661.58

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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.