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Finding the Fourth Proportional to 32,980.47, 49,469.97 and 8,020.62

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Solution

The fourth proportional to 32,980.47, 49,469.97 and 8,020.62 is: 12,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.47 : 49,469.97 = 8,020.62 : x
  2. Step 2: Convert to fraction form
    32,980.47/49,469.97 = 8,020.62/x
  3. Step 3: Cross multiply
    32,980.47x = 49,469.97 × 8,020.62
  4. Step 4: Simplify right side
    32,980.47x = 396,779,830.78
  5. Step 5: Solve for x
    x = 396,779,830.78/32,980.47
  6. Step 6: Final answer
    x = 12,030.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.