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Finding the Fourth Proportional to 38,385, 57,577.50 and 16,497

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Solution

The fourth proportional to 38,385, 57,577.50 and 16,497 is: 24,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,385 : 57,577.50 = 16,497 : x
  2. Step 2: Convert to fraction form
    38,385/57,577.50 = 16,497/x
  3. Step 3: Cross multiply
    38,385x = 57,577.50 × 16,497
  4. Step 4: Simplify right side
    38,385x = 949,856,017.50
  5. Step 5: Solve for x
    x = 949,856,017.50/38,385
  6. Step 6: Final answer
    x = 24,745.50

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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.