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Finding the Fourth Proportional to 32,676.68, 49,022.40 and 11,900

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Solution

The fourth proportional to 32,676.68, 49,022.40 and 11,900 is: 17,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.68 : 49,022.40 = 11,900 : x
  2. Step 2: Convert to fraction form
    32,676.68/49,022.40 = 11,900/x
  3. Step 3: Cross multiply
    32,676.68x = 49,022.40 × 11,900
  4. Step 4: Simplify right side
    32,676.68x = 583,366,560
  5. Step 5: Solve for x
    x = 583,366,560/32,676.68
  6. Step 6: Final answer
    x = 17,852.69

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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.