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Finding the Fourth Proportional to 32,676.97, 49,021.81 and 10,488.64

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Solution

The fourth proportional to 32,676.97, 49,021.81 and 10,488.64 is: 15,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.97 : 49,021.81 = 10,488.64 : x
  2. Step 2: Convert to fraction form
    32,676.97/49,021.81 = 10,488.64/x
  3. Step 3: Cross multiply
    32,676.97x = 49,021.81 × 10,488.64
  4. Step 4: Simplify right side
    32,676.97x = 514,172,117.24
  5. Step 5: Solve for x
    x = 514,172,117.24/32,676.97
  6. Step 6: Final answer
    x = 15,735.00

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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.