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Finding the Fourth Proportional to 25,048, 37,577.76 and 8,632

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Solution

The fourth proportional to 25,048, 37,577.76 and 8,632 is: 12,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,048 : 37,577.76 = 8,632 : x
  2. Step 2: Convert to fraction form
    25,048/37,577.76 = 8,632/x
  3. Step 3: Cross multiply
    25,048x = 37,577.76 × 8,632
  4. Step 4: Simplify right side
    25,048x = 324,371,224.32
  5. Step 5: Solve for x
    x = 324,371,224.32/25,048
  6. Step 6: Final answer
    x = 12,949.99

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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.