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Finding the Fourth Proportional to 57,624, 86,450.60 and 16,071

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Solution

The fourth proportional to 57,624, 86,450.60 and 16,071 is: 24,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624 : 86,450.60 = 16,071 : x
  2. Step 2: Convert to fraction form
    57,624/86,450.60 = 16,071/x
  3. Step 3: Cross multiply
    57,624x = 86,450.60 × 16,071
  4. Step 4: Simplify right side
    57,624x = 1,389,347,592.60
  5. Step 5: Solve for x
    x = 1,389,347,592.60/57,624
  6. Step 6: Final answer
    x = 24,110.57

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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.