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Finding the Fourth Proportional to 27,811.50, 41,717.46 and 7,035

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Solution

The fourth proportional to 27,811.50, 41,717.46 and 7,035 is: 10,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.50 : 41,717.46 = 7,035 : x
  2. Step 2: Convert to fraction form
    27,811.50/41,717.46 = 7,035/x
  3. Step 3: Cross multiply
    27,811.50x = 41,717.46 × 7,035
  4. Step 4: Simplify right side
    27,811.50x = 293,482,331.10
  5. Step 5: Solve for x
    x = 293,482,331.10/27,811.50
  6. Step 6: Final answer
    x = 10,552.55

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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.