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Finding the Fourth Proportional to 27,079.50, 40,614.46 and 7,359.60

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Solution

The fourth proportional to 27,079.50, 40,614.46 and 7,359.60 is: 11,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,079.50 : 40,614.46 = 7,359.60 : x
  2. Step 2: Convert to fraction form
    27,079.50/40,614.46 = 7,359.60/x
  3. Step 3: Cross multiply
    27,079.50x = 40,614.46 × 7,359.60
  4. Step 4: Simplify right side
    27,079.50x = 298,906,179.82
  5. Step 5: Solve for x
    x = 298,906,179.82/27,079.50
  6. Step 6: Final answer
    x = 11,038.10

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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.