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Finding the Fourth Proportional to 38,406.50, 57,609.74 and 12,113.29

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Solution

The fourth proportional to 38,406.50, 57,609.74 and 12,113.29 is: 18,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.50 : 57,609.74 = 12,113.29 : x
  2. Step 2: Convert to fraction form
    38,406.50/57,609.74 = 12,113.29/x
  3. Step 3: Cross multiply
    38,406.50x = 57,609.74 × 12,113.29
  4. Step 4: Simplify right side
    38,406.50x = 697,843,138.83
  5. Step 5: Solve for x
    x = 697,843,138.83/38,406.50
  6. Step 6: Final answer
    x = 18,169.93

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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.