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Finding the Fourth Proportional to 55,906.56, 83,830.95 and 16,458.57

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Solution

The fourth proportional to 55,906.56, 83,830.95 and 16,458.57 is: 24,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.56 : 83,830.95 = 16,458.57 : x
  2. Step 2: Convert to fraction form
    55,906.56/83,830.95 = 16,458.57/x
  3. Step 3: Cross multiply
    55,906.56x = 83,830.95 × 16,458.57
  4. Step 4: Simplify right side
    55,906.56x = 1,379,737,558.74
  5. Step 5: Solve for x
    x = 1,379,737,558.74/55,906.56
  6. Step 6: Final answer
    x = 24,679.35

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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.