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Finding the Fourth Proportional to 64,338, 96,558.84 and 33,182.16

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Solution

The fourth proportional to 64,338, 96,558.84 and 33,182.16 is: 49,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,338 : 96,558.84 = 33,182.16 : x
  2. Step 2: Convert to fraction form
    64,338/96,558.84 = 33,182.16/x
  3. Step 3: Cross multiply
    64,338x = 96,558.84 × 33,182.16
  4. Step 4: Simplify right side
    64,338x = 3,204,030,878.29
  5. Step 5: Solve for x
    x = 3,204,030,878.29/64,338
  6. Step 6: Final answer
    x = 49,799.98

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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.