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Finding the Fourth Proportional to 32,178.96, 44,428.59 and 20,097.81

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Solution

The fourth proportional to 32,178.96, 44,428.59 and 20,097.81 is: 27,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.96 : 44,428.59 = 20,097.81 : x
  2. Step 2: Convert to fraction form
    32,178.96/44,428.59 = 20,097.81/x
  3. Step 3: Cross multiply
    32,178.96x = 44,428.59 × 20,097.81
  4. Step 4: Simplify right side
    32,178.96x = 892,917,360.39
  5. Step 5: Solve for x
    x = 892,917,360.39/32,178.96
  6. Step 6: Final answer
    x = 27,748.48

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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.