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Finding the Fourth Proportional to 30,715.38, 42,383.79 and 17,291.25

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Solution

The fourth proportional to 30,715.38, 42,383.79 and 17,291.25 is: 23,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.38 : 42,383.79 = 17,291.25 : x
  2. Step 2: Convert to fraction form
    30,715.38/42,383.79 = 17,291.25/x
  3. Step 3: Cross multiply
    30,715.38x = 42,383.79 × 17,291.25
  4. Step 4: Simplify right side
    30,715.38x = 732,868,708.84
  5. Step 5: Solve for x
    x = 732,868,708.84/30,715.38
  6. Step 6: Final answer
    x = 23,859.99

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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.