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Finding the Fourth Proportional to 29,875, 41,227.50 and 16,627

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Solution

The fourth proportional to 29,875, 41,227.50 and 16,627 is: 22,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875 : 41,227.50 = 16,627 : x
  2. Step 2: Convert to fraction form
    29,875/41,227.50 = 16,627/x
  3. Step 3: Cross multiply
    29,875x = 41,227.50 × 16,627
  4. Step 4: Simplify right side
    29,875x = 685,489,642.50
  5. Step 5: Solve for x
    x = 685,489,642.50/29,875
  6. Step 6: Final answer
    x = 22,945.26

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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.