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Finding the Fourth Proportional to 76,426.38, 105,462.39 and 42,431.67

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Solution

The fourth proportional to 76,426.38, 105,462.39 and 42,431.67 is: 58,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,426.38 : 105,462.39 = 42,431.67 : x
  2. Step 2: Convert to fraction form
    76,426.38/105,462.39 = 42,431.67/x
  3. Step 3: Cross multiply
    76,426.38x = 105,462.39 × 42,431.67
  4. Step 4: Simplify right side
    76,426.38x = 4,474,945,329.89
  5. Step 5: Solve for x
    x = 4,474,945,329.89/76,426.38
  6. Step 6: Final answer
    x = 58,552.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.