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Finding the Fourth Proportional to 38,114.89, 57,178.40 and 11,814.19

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Solution

The fourth proportional to 38,114.89, 57,178.40 and 11,814.19 is: 17,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.89 : 57,178.40 = 11,814.19 : x
  2. Step 2: Convert to fraction form
    38,114.89/57,178.40 = 11,814.19/x
  3. Step 3: Cross multiply
    38,114.89x = 57,178.40 × 11,814.19
  4. Step 4: Simplify right side
    38,114.89x = 675,516,481.50
  5. Step 5: Solve for x
    x = 675,516,481.50/38,114.89
  6. Step 6: Final answer
    x = 17,723.16

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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.