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Finding the Fourth Proportional to 77,495.96, 116,243.26 and 51,317.80

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Solution

The fourth proportional to 77,495.96, 116,243.26 and 51,317.80 is: 76,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,495.96 : 116,243.26 = 51,317.80 : x
  2. Step 2: Convert to fraction form
    77,495.96/116,243.26 = 51,317.80/x
  3. Step 3: Cross multiply
    77,495.96x = 116,243.26 × 51,317.80
  4. Step 4: Simplify right side
    77,495.96x = 5,965,348,368.03
  5. Step 5: Solve for x
    x = 5,965,348,368.03/77,495.96
  6. Step 6: Final answer
    x = 76,976.25

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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.