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Finding the Fourth Proportional to 30,660, 42,310.84 and 17,412

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Solution

The fourth proportional to 30,660, 42,310.84 and 17,412 is: 24,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660 : 42,310.84 = 17,412 : x
  2. Step 2: Convert to fraction form
    30,660/42,310.84 = 17,412/x
  3. Step 3: Cross multiply
    30,660x = 42,310.84 × 17,412
  4. Step 4: Simplify right side
    30,660x = 736,716,346.08
  5. Step 5: Solve for x
    x = 736,716,346.08/30,660
  6. Step 6: Final answer
    x = 24,028.58

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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.