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Finding the Fourth Proportional to 32,728, 49,085.72 and 9,029.65

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Solution

The fourth proportional to 32,728, 49,085.72 and 9,029.65 is: 13,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728 : 49,085.72 = 9,029.65 : x
  2. Step 2: Convert to fraction form
    32,728/49,085.72 = 9,029.65/x
  3. Step 3: Cross multiply
    32,728x = 49,085.72 × 9,029.65
  4. Step 4: Simplify right side
    32,728x = 443,226,871.60
  5. Step 5: Solve for x
    x = 443,226,871.60/32,728
  6. Step 6: Final answer
    x = 13,542.74

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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.