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Finding the Fourth Proportional to 38,734, 58,103.16 and 11,034.16

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Solution

The fourth proportional to 38,734, 58,103.16 and 11,034.16 is: 16,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,734 : 58,103.16 = 11,034.16 : x
  2. Step 2: Convert to fraction form
    38,734/58,103.16 = 11,034.16/x
  3. Step 3: Cross multiply
    38,734x = 58,103.16 × 11,034.16
  4. Step 4: Simplify right side
    38,734x = 641,119,563.95
  5. Step 5: Solve for x
    x = 641,119,563.95/38,734
  6. Step 6: Final answer
    x = 16,551.86

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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.