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Finding the Fourth Proportional to 30,230.14, 45,141.50 and 24,694.42

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Solution

The fourth proportional to 30,230.14, 45,141.50 and 24,694.42 is: 36,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.14 : 45,141.50 = 24,694.42 : x
  2. Step 2: Convert to fraction form
    30,230.14/45,141.50 = 24,694.42/x
  3. Step 3: Cross multiply
    30,230.14x = 45,141.50 × 24,694.42
  4. Step 4: Simplify right side
    30,230.14x = 1,114,743,160.43
  5. Step 5: Solve for x
    x = 1,114,743,160.43/30,230.14
  6. Step 6: Final answer
    x = 36,875.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.