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Finding the Fourth Proportional to 32,034.06, 48,049.61 and 9,846.41

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Solution

The fourth proportional to 32,034.06, 48,049.61 and 9,846.41 is: 14,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.06 : 48,049.61 = 9,846.41 : x
  2. Step 2: Convert to fraction form
    32,034.06/48,049.61 = 9,846.41/x
  3. Step 3: Cross multiply
    32,034.06x = 48,049.61 × 9,846.41
  4. Step 4: Simplify right side
    32,034.06x = 473,115,870.92
  5. Step 5: Solve for x
    x = 473,115,870.92/32,034.06
  6. Step 6: Final answer
    x = 14,769.15

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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.