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Finding the Fourth Proportional to 27,459.46, 41,195.49 and 9,929.28

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Solution

The fourth proportional to 27,459.46, 41,195.49 and 9,929.28 is: 14,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.46 : 41,195.49 = 9,929.28 : x
  2. Step 2: Convert to fraction form
    27,459.46/41,195.49 = 9,929.28/x
  3. Step 3: Cross multiply
    27,459.46x = 41,195.49 × 9,929.28
  4. Step 4: Simplify right side
    27,459.46x = 409,041,672.20
  5. Step 5: Solve for x
    x = 409,041,672.20/27,459.46
  6. Step 6: Final answer
    x = 14,896.20

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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.