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Finding the Fourth Proportional to 30,067.46, 45,088.49 and 9,010.50

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Solution

The fourth proportional to 30,067.46, 45,088.49 and 9,010.50 is: 13,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067.46 : 45,088.49 = 9,010.50 : x
  2. Step 2: Convert to fraction form
    30,067.46/45,088.49 = 9,010.50/x
  3. Step 3: Cross multiply
    30,067.46x = 45,088.49 × 9,010.50
  4. Step 4: Simplify right side
    30,067.46x = 406,269,839.15
  5. Step 5: Solve for x
    x = 406,269,839.15/30,067.46
  6. Step 6: Final answer
    x = 13,511.94

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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.