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Finding the Fourth Proportional to 27,940.80, 41,824.80 and 24,830.40

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Solution

The fourth proportional to 27,940.80, 41,824.80 and 24,830.40 is: 37,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.80 : 41,824.80 = 24,830.40 : x
  2. Step 2: Convert to fraction form
    27,940.80/41,824.80 = 24,830.40/x
  3. Step 3: Cross multiply
    27,940.80x = 41,824.80 × 24,830.40
  4. Step 4: Simplify right side
    27,940.80x = 1,038,526,513.92
  5. Step 5: Solve for x
    x = 1,038,526,513.92/27,940.80
  6. Step 6: Final answer
    x = 37,168.82

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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.