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Finding the Fourth Proportional to 76,562.38, 105,662.00 and 45,936.62

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Solution

The fourth proportional to 76,562.38, 105,662.00 and 45,936.62 is: 63,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.38 : 105,662.00 = 45,936.62 : x
  2. Step 2: Convert to fraction form
    76,562.38/105,662.00 = 45,936.62/x
  3. Step 3: Cross multiply
    76,562.38x = 105,662.00 × 45,936.62
  4. Step 4: Simplify right side
    76,562.38x = 4,853,755,125.20
  5. Step 5: Solve for x
    x = 4,853,755,125.20/76,562.38
  6. Step 6: Final answer
    x = 63,396.08

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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.