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Finding the Fourth Proportional to 27,670, 41,505.36 and 9,202

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Solution

The fourth proportional to 27,670, 41,505.36 and 9,202 is: 13,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670 : 41,505.36 = 9,202 : x
  2. Step 2: Convert to fraction form
    27,670/41,505.36 = 9,202/x
  3. Step 3: Cross multiply
    27,670x = 41,505.36 × 9,202
  4. Step 4: Simplify right side
    27,670x = 381,932,322.72
  5. Step 5: Solve for x
    x = 381,932,322.72/27,670
  6. Step 6: Final answer
    x = 13,803.12

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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.