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Finding the Fourth Proportional to 30,744.30, 46,007.10 and 21,340.20

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Solution

The fourth proportional to 30,744.30, 46,007.10 and 21,340.20 is: 31,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.30 : 46,007.10 = 21,340.20 : x
  2. Step 2: Convert to fraction form
    30,744.30/46,007.10 = 21,340.20/x
  3. Step 3: Cross multiply
    30,744.30x = 46,007.10 × 21,340.20
  4. Step 4: Simplify right side
    30,744.30x = 981,800,715.42
  5. Step 5: Solve for x
    x = 981,800,715.42/30,744.30
  6. Step 6: Final answer
    x = 31,934.40

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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.