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Finding the Fourth Proportional to 64,076.83, 96,135.81 and 30,799.31

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Solution

The fourth proportional to 64,076.83, 96,135.81 and 30,799.31 is: 46,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,076.83 : 96,135.81 = 30,799.31 : x
  2. Step 2: Convert to fraction form
    64,076.83/96,135.81 = 30,799.31/x
  3. Step 3: Cross multiply
    64,076.83x = 96,135.81 × 30,799.31
  4. Step 4: Simplify right side
    64,076.83x = 2,960,916,614.29
  5. Step 5: Solve for x
    x = 2,960,916,614.29/64,076.83
  6. Step 6: Final answer
    x = 46,208.85

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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.