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Finding the Fourth Proportional to 30,532.38, 42,133.95 and 17,104.20

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Solution

The fourth proportional to 30,532.38, 42,133.95 and 17,104.20 is: 23,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.38 : 42,133.95 = 17,104.20 : x
  2. Step 2: Convert to fraction form
    30,532.38/42,133.95 = 17,104.20/x
  3. Step 3: Cross multiply
    30,532.38x = 42,133.95 × 17,104.20
  4. Step 4: Simplify right side
    30,532.38x = 720,667,507.59
  5. Step 5: Solve for x
    x = 720,667,507.59/30,532.38
  6. Step 6: Final answer
    x = 23,603.38

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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.