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Finding the Fourth Proportional to 30,824.28, 42,537.69 and 17,027.01

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Solution

The fourth proportional to 30,824.28, 42,537.69 and 17,027.01 is: 23,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.28 : 42,537.69 = 17,027.01 : x
  2. Step 2: Convert to fraction form
    30,824.28/42,537.69 = 17,027.01/x
  3. Step 3: Cross multiply
    30,824.28x = 42,537.69 × 17,027.01
  4. Step 4: Simplify right side
    30,824.28x = 724,289,673.01
  5. Step 5: Solve for x
    x = 724,289,673.01/30,824.28
  6. Step 6: Final answer
    x = 23,497.38

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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.