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Finding the Fourth Proportional to 97,481, 146,222.22 and 23,609

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Solution

The fourth proportional to 97,481, 146,222.22 and 23,609 is: 35,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481 : 146,222.22 = 23,609 : x
  2. Step 2: Convert to fraction form
    97,481/146,222.22 = 23,609/x
  3. Step 3: Cross multiply
    97,481x = 146,222.22 × 23,609
  4. Step 4: Simplify right side
    97,481x = 3,452,160,391.98
  5. Step 5: Solve for x
    x = 3,452,160,391.98/97,481
  6. Step 6: Final answer
    x = 35,413.67

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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.