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Finding the Fourth Proportional to 32,768.12, 49,152.29 and 9,972.19

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Solution

The fourth proportional to 32,768.12, 49,152.29 and 9,972.19 is: 14,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.12 : 49,152.29 = 9,972.19 : x
  2. Step 2: Convert to fraction form
    32,768.12/49,152.29 = 9,972.19/x
  3. Step 3: Cross multiply
    32,768.12x = 49,152.29 × 9,972.19
  4. Step 4: Simplify right side
    32,768.12x = 490,155,974.82
  5. Step 5: Solve for x
    x = 490,155,974.82/32,768.12
  6. Step 6: Final answer
    x = 14,958.32

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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.