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Finding the Fourth Proportional to 30,291.44, 45,431.69 and 9,226.44

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Solution

The fourth proportional to 30,291.44, 45,431.69 and 9,226.44 is: 13,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.44 : 45,431.69 = 9,226.44 : x
  2. Step 2: Convert to fraction form
    30,291.44/45,431.69 = 9,226.44/x
  3. Step 3: Cross multiply
    30,291.44x = 45,431.69 × 9,226.44
  4. Step 4: Simplify right side
    30,291.44x = 419,172,715.75
  5. Step 5: Solve for x
    x = 419,172,715.75/30,291.44
  6. Step 6: Final answer
    x = 13,837.99

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1.5x scale

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.