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Finding the Fourth Proportional to 61,578.32, 92,383.20 and 17,205.20

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Solution

The fourth proportional to 61,578.32, 92,383.20 and 17,205.20 is: 25,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,578.32 : 92,383.20 = 17,205.20 : x
  2. Step 2: Convert to fraction form
    61,578.32/92,383.20 = 17,205.20/x
  3. Step 3: Cross multiply
    61,578.32x = 92,383.20 × 17,205.20
  4. Step 4: Simplify right side
    61,578.32x = 1,589,471,432.64
  5. Step 5: Solve for x
    x = 1,589,471,432.64/61,578.32
  6. Step 6: Final answer
    x = 25,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.