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Finding the Fourth Proportional to 32,989.35, 49,483.33 and 8,029.54

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Solution

The fourth proportional to 32,989.35, 49,483.33 and 8,029.54 is: 12,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.35 : 49,483.33 = 8,029.54 : x
  2. Step 2: Convert to fraction form
    32,989.35/49,483.33 = 8,029.54/x
  3. Step 3: Cross multiply
    32,989.35x = 49,483.33 × 8,029.54
  4. Step 4: Simplify right side
    32,989.35x = 397,328,273.93
  5. Step 5: Solve for x
    x = 397,328,273.93/32,989.35
  6. Step 6: Final answer
    x = 12,044.14

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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.