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Finding the Fourth Proportional to 64,279.74, 96,481.80 and 31,023.22

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Solution

The fourth proportional to 64,279.74, 96,481.80 and 31,023.22 is: 46,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,279.74 : 96,481.80 = 31,023.22 : x
  2. Step 2: Convert to fraction form
    64,279.74/96,481.80 = 31,023.22/x
  3. Step 3: Cross multiply
    64,279.74x = 96,481.80 × 31,023.22
  4. Step 4: Simplify right side
    64,279.74x = 2,993,175,924.36
  5. Step 5: Solve for x
    x = 2,993,175,924.36/64,279.74
  6. Step 6: Final answer
    x = 46,564.84

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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.