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Finding the Fourth Proportional to 27,282.56, 40,932.48 and 9,752

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Solution

The fourth proportional to 27,282.56, 40,932.48 and 9,752 is: 14,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.56 : 40,932.48 = 9,752 : x
  2. Step 2: Convert to fraction form
    27,282.56/40,932.48 = 9,752/x
  3. Step 3: Cross multiply
    27,282.56x = 40,932.48 × 9,752
  4. Step 4: Simplify right side
    27,282.56x = 399,173,544.96
  5. Step 5: Solve for x
    x = 399,173,544.96/27,282.56
  6. Step 6: Final answer
    x = 14,631.09

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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.