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Finding the Fourth Proportional to 29,828.71, 41,163.65 and 16,400.20

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Solution

The fourth proportional to 29,828.71, 41,163.65 and 16,400.20 is: 22,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.71 : 41,163.65 = 16,400.20 : x
  2. Step 2: Convert to fraction form
    29,828.71/41,163.65 = 16,400.20/x
  3. Step 3: Cross multiply
    29,828.71x = 41,163.65 × 16,400.20
  4. Step 4: Simplify right side
    29,828.71x = 675,092,092.73
  5. Step 5: Solve for x
    x = 675,092,092.73/29,828.71
  6. Step 6: Final answer
    x = 22,632.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.