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Finding the Fourth Proportional to 25,737, 38,605.50 and 7,269.48

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Solution

The fourth proportional to 25,737, 38,605.50 and 7,269.48 is: 10,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737 : 38,605.50 = 7,269.48 : x
  2. Step 2: Convert to fraction form
    25,737/38,605.50 = 7,269.48/x
  3. Step 3: Cross multiply
    25,737x = 38,605.50 × 7,269.48
  4. Step 4: Simplify right side
    25,737x = 280,641,910.14
  5. Step 5: Solve for x
    x = 280,641,910.14/25,737
  6. Step 6: Final answer
    x = 10,904.22

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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.