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Finding the Fourth Proportional to 48,583, 72,874.50 and 13,523.57

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Solution

The fourth proportional to 48,583, 72,874.50 and 13,523.57 is: 20,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,583 : 72,874.50 = 13,523.57 : x
  2. Step 2: Convert to fraction form
    48,583/72,874.50 = 13,523.57/x
  3. Step 3: Cross multiply
    48,583x = 72,874.50 × 13,523.57
  4. Step 4: Simplify right side
    48,583x = 985,523,401.97
  5. Step 5: Solve for x
    x = 985,523,401.97/48,583
  6. Step 6: Final answer
    x = 20,285.36

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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.