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Finding the Fourth Proportional to 29,829.50, 41,164.50 and 16,400.41

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Solution

The fourth proportional to 29,829.50, 41,164.50 and 16,400.41 is: 22,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.50 : 41,164.50 = 16,400.41 : x
  2. Step 2: Convert to fraction form
    29,829.50/41,164.50 = 16,400.41/x
  3. Step 3: Cross multiply
    29,829.50x = 41,164.50 × 16,400.41
  4. Step 4: Simplify right side
    29,829.50x = 675,114,636.04
  5. Step 5: Solve for x
    x = 675,114,636.04/29,829.50
  6. Step 6: Final answer
    x = 22,632.45

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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.