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Finding the Fourth Proportional to 32,755.96, 49,133.72 and 9,382.40

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Solution

The fourth proportional to 32,755.96, 49,133.72 and 9,382.40 is: 14,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.96 : 49,133.72 = 9,382.40 : x
  2. Step 2: Convert to fraction form
    32,755.96/49,133.72 = 9,382.40/x
  3. Step 3: Cross multiply
    32,755.96x = 49,133.72 × 9,382.40
  4. Step 4: Simplify right side
    32,755.96x = 460,992,214.53
  5. Step 5: Solve for x
    x = 460,992,214.53/32,755.96
  6. Step 6: Final answer
    x = 14,073.54

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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.