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Finding the Fourth Proportional to 30,224.79, 41,708.31 and 16,795.25

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Solution

The fourth proportional to 30,224.79, 41,708.31 and 16,795.25 is: 23,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.79 : 41,708.31 = 16,795.25 : x
  2. Step 2: Convert to fraction form
    30,224.79/41,708.31 = 16,795.25/x
  3. Step 3: Cross multiply
    30,224.79x = 41,708.31 × 16,795.25
  4. Step 4: Simplify right side
    30,224.79x = 700,501,284.99
  5. Step 5: Solve for x
    x = 700,501,284.99/30,224.79
  6. Step 6: Final answer
    x = 23,176.38

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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.