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Finding the Fourth Proportional to 30,266.45, 45,400.01 and 9,209.91

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Solution

The fourth proportional to 30,266.45, 45,400.01 and 9,209.91 is: 13,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.45 : 45,400.01 = 9,209.91 : x
  2. Step 2: Convert to fraction form
    30,266.45/45,400.01 = 9,209.91/x
  3. Step 3: Cross multiply
    30,266.45x = 45,400.01 × 9,209.91
  4. Step 4: Simplify right side
    30,266.45x = 418,129,960.05
  5. Step 5: Solve for x
    x = 418,129,960.05/30,266.45
  6. Step 6: Final answer
    x = 13,814.97

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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.