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Finding the Fourth Proportional to 27,049.92, 40,582.14 and 8,330.40

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Solution

The fourth proportional to 27,049.92, 40,582.14 and 8,330.40 is: 12,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.92 : 40,582.14 = 8,330.40 : x
  2. Step 2: Convert to fraction form
    27,049.92/40,582.14 = 8,330.40/x
  3. Step 3: Cross multiply
    27,049.92x = 40,582.14 × 8,330.40
  4. Step 4: Simplify right side
    27,049.92x = 338,065,459.06
  5. Step 5: Solve for x
    x = 338,065,459.06/27,049.92
  6. Step 6: Final answer
    x = 12,497.84

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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.