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Finding the Fourth Proportional to 64,063.52, 96,115.83 and 30,786

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Solution

The fourth proportional to 64,063.52, 96,115.83 and 30,786 is: 46,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,063.52 : 96,115.83 = 30,786 : x
  2. Step 2: Convert to fraction form
    64,063.52/96,115.83 = 30,786/x
  3. Step 3: Cross multiply
    64,063.52x = 96,115.83 × 30,786
  4. Step 4: Simplify right side
    64,063.52x = 2,959,021,942.38
  5. Step 5: Solve for x
    x = 2,959,021,942.38/64,063.52
  6. Step 6: Final answer
    x = 46,188.88

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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.