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Finding the Fourth Proportional to 119,952, 179,928 and 32,400

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Solution

The fourth proportional to 119,952, 179,928 and 32,400 is: 48,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952 : 179,928 = 32,400 : x
  2. Step 2: Convert to fraction form
    119,952/179,928 = 32,400/x
  3. Step 3: Cross multiply
    119,952x = 179,928 × 32,400
  4. Step 4: Simplify right side
    119,952x = 5,829,667,200
  5. Step 5: Solve for x
    x = 5,829,667,200/119,952
  6. Step 6: Final answer
    x = 48,600

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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.