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Finding the Fourth Proportional to 57,123, 85,684.50 and 15,570

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Solution

The fourth proportional to 57,123, 85,684.50 and 15,570 is: 23,355

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,123 : 85,684.50 = 15,570 : x
  2. Step 2: Convert to fraction form
    57,123/85,684.50 = 15,570/x
  3. Step 3: Cross multiply
    57,123x = 85,684.50 × 15,570
  4. Step 4: Simplify right side
    57,123x = 1,334,107,665
  5. Step 5: Solve for x
    x = 1,334,107,665/57,123
  6. Step 6: Final answer
    x = 23,355

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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.