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Finding the Fourth Proportional to 27,620, 41,436.48 and 9,152

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Solution

The fourth proportional to 27,620, 41,436.48 and 9,152 is: 13,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620 : 41,436.48 = 9,152 : x
  2. Step 2: Convert to fraction form
    27,620/41,436.48 = 9,152/x
  3. Step 3: Cross multiply
    27,620x = 41,436.48 × 9,152
  4. Step 4: Simplify right side
    27,620x = 379,226,664.96
  5. Step 5: Solve for x
    x = 379,226,664.96/27,620
  6. Step 6: Final answer
    x = 13,730.15

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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.