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Finding the Fourth Proportional to 76,693.41, 114,982.74 and 51,663.21

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Solution

The fourth proportional to 76,693.41, 114,982.74 and 51,663.21 is: 77,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.41 : 114,982.74 = 51,663.21 : x
  2. Step 2: Convert to fraction form
    76,693.41/114,982.74 = 51,663.21/x
  3. Step 3: Cross multiply
    76,693.41x = 114,982.74 × 51,663.21
  4. Step 4: Simplify right side
    76,693.41x = 5,940,377,443.00
  5. Step 5: Solve for x
    x = 5,940,377,443.00/76,693.41
  6. Step 6: Final answer
    x = 77,456.17

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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.