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Finding the Fourth Proportional to 38,462.46, 57,693.69 and 10,760.46

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Solution

The fourth proportional to 38,462.46, 57,693.69 and 10,760.46 is: 16,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.46 : 57,693.69 = 10,760.46 : x
  2. Step 2: Convert to fraction form
    38,462.46/57,693.69 = 10,760.46/x
  3. Step 3: Cross multiply
    38,462.46x = 57,693.69 × 10,760.46
  4. Step 4: Simplify right side
    38,462.46x = 620,810,643.50
  5. Step 5: Solve for x
    x = 620,810,643.50/38,462.46
  6. Step 6: Final answer
    x = 16,140.69

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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.