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Finding the Fourth Proportional to 58,137.42, 87,206.22 and 16,584.42

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Solution

The fourth proportional to 58,137.42, 87,206.22 and 16,584.42 is: 24,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,137.42 : 87,206.22 = 16,584.42 : x
  2. Step 2: Convert to fraction form
    58,137.42/87,206.22 = 16,584.42/x
  3. Step 3: Cross multiply
    58,137.42x = 87,206.22 × 16,584.42
  4. Step 4: Simplify right side
    58,137.42x = 1,446,264,579.09
  5. Step 5: Solve for x
    x = 1,446,264,579.09/58,137.42
  6. Step 6: Final answer
    x = 24,876.66

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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.