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Finding the Fourth Proportional to 76,967.10, 106,228.41 and 45,924.33

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Solution

The fourth proportional to 76,967.10, 106,228.41 and 45,924.33 is: 63,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.10 : 106,228.41 = 45,924.33 : x
  2. Step 2: Convert to fraction form
    76,967.10/106,228.41 = 45,924.33/x
  3. Step 3: Cross multiply
    76,967.10x = 106,228.41 × 45,924.33
  4. Step 4: Simplify right side
    76,967.10x = 4,878,468,556.22
  5. Step 5: Solve for x
    x = 4,878,468,556.22/76,967.10
  6. Step 6: Final answer
    x = 63,383.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.