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Finding the Fourth Proportional to 30,446.40, 45,678.24 and 18,451.92

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Solution

The fourth proportional to 30,446.40, 45,678.24 and 18,451.92 is: 27,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.40 : 45,678.24 = 18,451.92 : x
  2. Step 2: Convert to fraction form
    30,446.40/45,678.24 = 18,451.92/x
  3. Step 3: Cross multiply
    30,446.40x = 45,678.24 × 18,451.92
  4. Step 4: Simplify right side
    30,446.40x = 842,851,230.22
  5. Step 5: Solve for x
    x = 842,851,230.22/30,446.40
  6. Step 6: Final answer
    x = 27,683.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.