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Finding the Fourth Proportional to 32,980.86, 49,470.60 and 8,021.04

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Solution

The fourth proportional to 32,980.86, 49,470.60 and 8,021.04 is: 12,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.86 : 49,470.60 = 8,021.04 : x
  2. Step 2: Convert to fraction form
    32,980.86/49,470.60 = 8,021.04/x
  3. Step 3: Cross multiply
    32,980.86x = 49,470.60 × 8,021.04
  4. Step 4: Simplify right side
    32,980.86x = 396,805,661.42
  5. Step 5: Solve for x
    x = 396,805,661.42/32,980.86
  6. Step 6: Final answer
    x = 12,031.39

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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.