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Finding the Fourth Proportional to 119,840, 179,760 and 32,288

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Solution

The fourth proportional to 119,840, 179,760 and 32,288 is: 48,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,840 : 179,760 = 32,288 : x
  2. Step 2: Convert to fraction form
    119,840/179,760 = 32,288/x
  3. Step 3: Cross multiply
    119,840x = 179,760 × 32,288
  4. Step 4: Simplify right side
    119,840x = 5,804,090,880
  5. Step 5: Solve for x
    x = 5,804,090,880/119,840
  6. Step 6: Final answer
    x = 48,432

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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.