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Finding the Fourth Proportional to 32,676.21, 49,022.21 and 9,302.65

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Solution

The fourth proportional to 32,676.21, 49,022.21 and 9,302.65 is: 13,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.21 : 49,022.21 = 9,302.65 : x
  2. Step 2: Convert to fraction form
    32,676.21/49,022.21 = 9,302.65/x
  3. Step 3: Cross multiply
    32,676.21x = 49,022.21 × 9,302.65
  4. Step 4: Simplify right side
    32,676.21x = 456,036,362.56
  5. Step 5: Solve for x
    x = 456,036,362.56/32,676.21
  6. Step 6: Final answer
    x = 13,956.22

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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.