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Finding the Fourth Proportional to 27,527.75, 41,294.36 and 8,803.08

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Solution

The fourth proportional to 27,527.75, 41,294.36 and 8,803.08 is: 13,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.75 : 41,294.36 = 8,803.08 : x
  2. Step 2: Convert to fraction form
    27,527.75/41,294.36 = 8,803.08/x
  3. Step 3: Cross multiply
    27,527.75x = 41,294.36 × 8,803.08
  4. Step 4: Simplify right side
    27,527.75x = 363,517,554.63
  5. Step 5: Solve for x
    x = 363,517,554.63/27,527.75
  6. Step 6: Final answer
    x = 13,205.49

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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.