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Finding the Fourth Proportional to 56,546.20, 84,828.12 and 17,099.20

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Solution

The fourth proportional to 56,546.20, 84,828.12 and 17,099.20 is: 25,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,546.20 : 84,828.12 = 17,099.20 : x
  2. Step 2: Convert to fraction form
    56,546.20/84,828.12 = 17,099.20/x
  3. Step 3: Cross multiply
    56,546.20x = 84,828.12 × 17,099.20
  4. Step 4: Simplify right side
    56,546.20x = 1,450,492,989.50
  5. Step 5: Solve for x
    x = 1,450,492,989.50/56,546.20
  6. Step 6: Final answer
    x = 25,651.47

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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.