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Finding the Fourth Proportional to 32,874.72, 45,313.76 and 25,692

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Solution

The fourth proportional to 32,874.72, 45,313.76 and 25,692 is: 35,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.72 : 45,313.76 = 25,692 : x
  2. Step 2: Convert to fraction form
    32,874.72/45,313.76 = 25,692/x
  3. Step 3: Cross multiply
    32,874.72x = 45,313.76 × 25,692
  4. Step 4: Simplify right side
    32,874.72x = 1,164,201,121.92
  5. Step 5: Solve for x
    x = 1,164,201,121.92/32,874.72
  6. Step 6: Final answer
    x = 35,413.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.