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Finding the Fourth Proportional to 27,253.82, 40,880.66 and 7,532.34

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Solution

The fourth proportional to 27,253.82, 40,880.66 and 7,532.34 is: 11,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,253.82 : 40,880.66 = 7,532.34 : x
  2. Step 2: Convert to fraction form
    27,253.82/40,880.66 = 7,532.34/x
  3. Step 3: Cross multiply
    27,253.82x = 40,880.66 × 7,532.34
  4. Step 4: Simplify right side
    27,253.82x = 307,926,992.88
  5. Step 5: Solve for x
    x = 307,926,992.88/27,253.82
  6. Step 6: Final answer
    x = 11,298.49

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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.