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Finding the Fourth Proportional to 32,021.69, 48,034.84 and 12,300.25

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Solution

The fourth proportional to 32,021.69, 48,034.84 and 12,300.25 is: 18,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.69 : 48,034.84 = 12,300.25 : x
  2. Step 2: Convert to fraction form
    32,021.69/48,034.84 = 12,300.25/x
  3. Step 3: Cross multiply
    32,021.69x = 48,034.84 × 12,300.25
  4. Step 4: Simplify right side
    32,021.69x = 590,840,300.54
  5. Step 5: Solve for x
    x = 590,840,300.54/32,021.69
  6. Step 6: Final answer
    x = 18,451.25

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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.