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Finding the Fourth Proportional to 38,495.70, 57,743.55 and 13,563.90

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Solution

The fourth proportional to 38,495.70, 57,743.55 and 13,563.90 is: 20,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.70 : 57,743.55 = 13,563.90 : x
  2. Step 2: Convert to fraction form
    38,495.70/57,743.55 = 13,563.90/x
  3. Step 3: Cross multiply
    38,495.70x = 57,743.55 × 13,563.90
  4. Step 4: Simplify right side
    38,495.70x = 783,227,737.85
  5. Step 5: Solve for x
    x = 783,227,737.85/38,495.70
  6. Step 6: Final answer
    x = 20,345.85

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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.