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Finding the Fourth Proportional to 27,210, 40,799.14 and 10,550.57

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Solution

The fourth proportional to 27,210, 40,799.14 and 10,550.57 is: 15,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210 : 40,799.14 = 10,550.57 : x
  2. Step 2: Convert to fraction form
    27,210/40,799.14 = 10,550.57/x
  3. Step 3: Cross multiply
    27,210x = 40,799.14 × 10,550.57
  4. Step 4: Simplify right side
    27,210x = 430,454,258.13
  5. Step 5: Solve for x
    x = 430,454,258.13/27,210
  6. Step 6: Final answer
    x = 15,819.71

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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.