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Finding the Fourth Proportional to 38,464.42, 57,704.97 and 11,810.50

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Solution

The fourth proportional to 38,464.42, 57,704.97 and 11,810.50 is: 17,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.42 : 57,704.97 = 11,810.50 : x
  2. Step 2: Convert to fraction form
    38,464.42/57,704.97 = 11,810.50/x
  3. Step 3: Cross multiply
    38,464.42x = 57,704.97 × 11,810.50
  4. Step 4: Simplify right side
    38,464.42x = 681,524,200.61
  5. Step 5: Solve for x
    x = 681,524,200.61/38,464.42
  6. Step 6: Final answer
    x = 17,718.30

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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.