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Finding the Fourth Proportional to 30,491.25, 45,744.30 and 9,714.75

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Solution

The fourth proportional to 30,491.25, 45,744.30 and 9,714.75 is: 14,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.25 : 45,744.30 = 9,714.75 : x
  2. Step 2: Convert to fraction form
    30,491.25/45,744.30 = 9,714.75/x
  3. Step 3: Cross multiply
    30,491.25x = 45,744.30 × 9,714.75
  4. Step 4: Simplify right side
    30,491.25x = 444,394,438.43
  5. Step 5: Solve for x
    x = 444,394,438.43/30,491.25
  6. Step 6: Final answer
    x = 14,574.49

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Why These Related Problems?

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