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Finding the Fourth Proportional to 27,048.13, 40,567.10 and 7,324.09

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Solution

The fourth proportional to 27,048.13, 40,567.10 and 7,324.09 is: 10,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048.13 : 40,567.10 = 7,324.09 : x
  2. Step 2: Convert to fraction form
    27,048.13/40,567.10 = 7,324.09/x
  3. Step 3: Cross multiply
    27,048.13x = 40,567.10 × 7,324.09
  4. Step 4: Simplify right side
    27,048.13x = 297,116,953.40
  5. Step 5: Solve for x
    x = 297,116,953.40/27,048.13
  6. Step 6: Final answer
    x = 10,984.75

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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.