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Finding the Fourth Proportional to 34,489.68, 51,731.16 and 11,132.88

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Solution

The fourth proportional to 34,489.68, 51,731.16 and 11,132.88 is: 16,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.68 : 51,731.16 = 11,132.88 : x
  2. Step 2: Convert to fraction form
    34,489.68/51,731.16 = 11,132.88/x
  3. Step 3: Cross multiply
    34,489.68x = 51,731.16 × 11,132.88
  4. Step 4: Simplify right side
    34,489.68x = 575,916,796.54
  5. Step 5: Solve for x
    x = 575,916,796.54/34,489.68
  6. Step 6: Final answer
    x = 16,698.24

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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.