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Finding the Fourth Proportional to 34,954.50, 52,413.92 and 11,572.50

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Solution

The fourth proportional to 34,954.50, 52,413.92 and 11,572.50 is: 17,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954.50 : 52,413.92 = 11,572.50 : x
  2. Step 2: Convert to fraction form
    34,954.50/52,413.92 = 11,572.50/x
  3. Step 3: Cross multiply
    34,954.50x = 52,413.92 × 11,572.50
  4. Step 4: Simplify right side
    34,954.50x = 606,560,089.20
  5. Step 5: Solve for x
    x = 606,560,089.20/34,954.50
  6. Step 6: Final answer
    x = 17,352.85

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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.