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Finding the Fourth Proportional to 32,104.65, 48,162.12 and 9,912.81

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Solution

The fourth proportional to 32,104.65, 48,162.12 and 9,912.81 is: 14,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.65 : 48,162.12 = 9,912.81 : x
  2. Step 2: Convert to fraction form
    32,104.65/48,162.12 = 9,912.81/x
  3. Step 3: Cross multiply
    32,104.65x = 48,162.12 × 9,912.81
  4. Step 4: Simplify right side
    32,104.65x = 477,421,944.76
  5. Step 5: Solve for x
    x = 477,421,944.76/32,104.65
  6. Step 6: Final answer
    x = 14,870.80

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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.