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Finding the Fourth Proportional to 32,036.68, 48,055.02 and 12,311.56

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Solution

The fourth proportional to 32,036.68, 48,055.02 and 12,311.56 is: 18,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.68 : 48,055.02 = 12,311.56 : x
  2. Step 2: Convert to fraction form
    32,036.68/48,055.02 = 12,311.56/x
  3. Step 3: Cross multiply
    32,036.68x = 48,055.02 × 12,311.56
  4. Step 4: Simplify right side
    32,036.68x = 591,632,262.03
  5. Step 5: Solve for x
    x = 591,632,262.03/32,036.68
  6. Step 6: Final answer
    x = 18,467.34

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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.