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Finding the Fourth Proportional to 32,382.75, 44,707.64 and 21,224.19

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Solution

The fourth proportional to 32,382.75, 44,707.64 and 21,224.19 is: 29,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.75 : 44,707.64 = 21,224.19 : x
  2. Step 2: Convert to fraction form
    32,382.75/44,707.64 = 21,224.19/x
  3. Step 3: Cross multiply
    32,382.75x = 44,707.64 × 21,224.19
  4. Step 4: Simplify right side
    32,382.75x = 948,883,339.69
  5. Step 5: Solve for x
    x = 948,883,339.69/32,382.75
  6. Step 6: Final answer
    x = 29,302.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.