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Finding the Fourth Proportional to 32,051.63, 44,222.49 and 21,982.56

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Solution

The fourth proportional to 32,051.63, 44,222.49 and 21,982.56 is: 30,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.63 : 44,222.49 = 21,982.56 : x
  2. Step 2: Convert to fraction form
    32,051.63/44,222.49 = 21,982.56/x
  3. Step 3: Cross multiply
    32,051.63x = 44,222.49 × 21,982.56
  4. Step 4: Simplify right side
    32,051.63x = 972,123,373.94
  5. Step 5: Solve for x
    x = 972,123,373.94/32,051.63
  6. Step 6: Final answer
    x = 30,329.92

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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.