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Finding the Fourth Proportional to 57,575, 86,367.46 and 16,022

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Solution

The fourth proportional to 57,575, 86,367.46 and 16,022 is: 24,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,575 : 86,367.46 = 16,022 : x
  2. Step 2: Convert to fraction form
    57,575/86,367.46 = 16,022/x
  3. Step 3: Cross multiply
    57,575x = 86,367.46 × 16,022
  4. Step 4: Simplify right side
    57,575x = 1,383,779,444.12
  5. Step 5: Solve for x
    x = 1,383,779,444.12/57,575
  6. Step 6: Final answer
    x = 24,034.38

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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.