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Finding the Fourth Proportional to 58,142, 87,213.84 and 16,589

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Solution

The fourth proportional to 58,142, 87,213.84 and 16,589 is: 24,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142 : 87,213.84 = 16,589 : x
  2. Step 2: Convert to fraction form
    58,142/87,213.84 = 16,589/x
  3. Step 3: Cross multiply
    58,142x = 87,213.84 × 16,589
  4. Step 4: Simplify right side
    58,142x = 1,446,790,391.76
  5. Step 5: Solve for x
    x = 1,446,790,391.76/58,142
  6. Step 6: Final answer
    x = 24,883.74

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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.