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Finding the Fourth Proportional to 76,462.38, 105,516.68 and 42,469.52

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Solution

The fourth proportional to 76,462.38, 105,516.68 and 42,469.52 is: 58,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462.38 : 105,516.68 = 42,469.52 : x
  2. Step 2: Convert to fraction form
    76,462.38/105,516.68 = 42,469.52/x
  3. Step 3: Cross multiply
    76,462.38x = 105,516.68 × 42,469.52
  4. Step 4: Simplify right side
    76,462.38x = 4,481,242,011.66
  5. Step 5: Solve for x
    x = 4,481,242,011.66/76,462.38
  6. Step 6: Final answer
    x = 58,607.15

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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.