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Finding the Fourth Proportional to 30,775.77, 42,469.97 and 17,346.76

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Solution

The fourth proportional to 30,775.77, 42,469.97 and 17,346.76 is: 23,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.77 : 42,469.97 = 17,346.76 : x
  2. Step 2: Convert to fraction form
    30,775.77/42,469.97 = 17,346.76/x
  3. Step 3: Cross multiply
    30,775.77x = 42,469.97 × 17,346.76
  4. Step 4: Simplify right side
    30,775.77x = 736,716,520.36
  5. Step 5: Solve for x
    x = 736,716,520.36/30,775.77
  6. Step 6: Final answer
    x = 23,938.20

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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.