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Finding the Fourth Proportional to 32,672.65, 49,008.93 and 9,299.09

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Solution

The fourth proportional to 32,672.65, 49,008.93 and 9,299.09 is: 13,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.65 : 49,008.93 = 9,299.09 : x
  2. Step 2: Convert to fraction form
    32,672.65/49,008.93 = 9,299.09/x
  3. Step 3: Cross multiply
    32,672.65x = 49,008.93 × 9,299.09
  4. Step 4: Simplify right side
    32,672.65x = 455,738,450.87
  5. Step 5: Solve for x
    x = 455,738,450.87/32,672.65
  6. Step 6: Final answer
    x = 13,948.62

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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.