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Finding the Fourth Proportional to 34,245.08, 51,353.04 and 13,454

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Solution

The fourth proportional to 34,245.08, 51,353.04 and 13,454 is: 20,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,245.08 : 51,353.04 = 13,454 : x
  2. Step 2: Convert to fraction form
    34,245.08/51,353.04 = 13,454/x
  3. Step 3: Cross multiply
    34,245.08x = 51,353.04 × 13,454
  4. Step 4: Simplify right side
    34,245.08x = 690,903,800.16
  5. Step 5: Solve for x
    x = 690,903,800.16/34,245.08
  6. Step 6: Final answer
    x = 20,175.27

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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.