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Finding the Fourth Proportional to 34,627.12, 51,964.04 and 13,564.54

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Solution

The fourth proportional to 34,627.12, 51,964.04 and 13,564.54 is: 20,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,627.12 : 51,964.04 = 13,564.54 : x
  2. Step 2: Convert to fraction form
    34,627.12/51,964.04 = 13,564.54/x
  3. Step 3: Cross multiply
    34,627.12x = 51,964.04 × 13,564.54
  4. Step 4: Simplify right side
    34,627.12x = 704,868,398.01
  5. Step 5: Solve for x
    x = 704,868,398.01/34,627.12
  6. Step 6: Final answer
    x = 20,355.97

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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.