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Finding the Fourth Proportional to 57,609, 86,413.50 and 13,833

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Solution

The fourth proportional to 57,609, 86,413.50 and 13,833 is: 20,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609 : 86,413.50 = 13,833 : x
  2. Step 2: Convert to fraction form
    57,609/86,413.50 = 13,833/x
  3. Step 3: Cross multiply
    57,609x = 86,413.50 × 13,833
  4. Step 4: Simplify right side
    57,609x = 1,195,357,945.50
  5. Step 5: Solve for x
    x = 1,195,357,945.50/57,609
  6. Step 6: Final answer
    x = 20,749.50

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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.