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Finding the Fourth Proportional to 57,109, 85,663.50 and 15,556

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Solution

The fourth proportional to 57,109, 85,663.50 and 15,556 is: 23,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109 : 85,663.50 = 15,556 : x
  2. Step 2: Convert to fraction form
    57,109/85,663.50 = 15,556/x
  3. Step 3: Cross multiply
    57,109x = 85,663.50 × 15,556
  4. Step 4: Simplify right side
    57,109x = 1,332,581,406
  5. Step 5: Solve for x
    x = 1,332,581,406/57,109
  6. Step 6: Final answer
    x = 23,334

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.