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Finding the Fourth Proportional to 120,024, 180,036.32 and 32,472

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Solution

The fourth proportional to 120,024, 180,036.32 and 32,472 is: 48,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024 : 180,036.32 = 32,472 : x
  2. Step 2: Convert to fraction form
    120,024/180,036.32 = 32,472/x
  3. Step 3: Cross multiply
    120,024x = 180,036.32 × 32,472
  4. Step 4: Simplify right side
    120,024x = 5,846,139,383.04
  5. Step 5: Solve for x
    x = 5,846,139,383.04/120,024
  6. Step 6: Final answer
    x = 48,708.09

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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.