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Finding the Fourth Proportional to 32,902.29, 45,394.74 and 20,142.14

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Solution

The fourth proportional to 32,902.29, 45,394.74 and 20,142.14 is: 27,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.29 : 45,394.74 = 20,142.14 : x
  2. Step 2: Convert to fraction form
    32,902.29/45,394.74 = 20,142.14/x
  3. Step 3: Cross multiply
    32,902.29x = 45,394.74 × 20,142.14
  4. Step 4: Simplify right side
    32,902.29x = 914,346,981.37
  5. Step 5: Solve for x
    x = 914,346,981.37/32,902.29
  6. Step 6: Final answer
    x = 27,789.77

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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.