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Finding the Fourth Proportional to 30,746.73, 42,419.07 and 20,142.21

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Solution

The fourth proportional to 30,746.73, 42,419.07 and 20,142.21 is: 27,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.73 : 42,419.07 = 20,142.21 : x
  2. Step 2: Convert to fraction form
    30,746.73/42,419.07 = 20,142.21/x
  3. Step 3: Cross multiply
    30,746.73x = 42,419.07 × 20,142.21
  4. Step 4: Simplify right side
    30,746.73x = 854,413,815.94
  5. Step 5: Solve for x
    x = 854,413,815.94/30,746.73
  6. Step 6: Final answer
    x = 27,788.77

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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.