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Finding the Fourth Proportional to 64,005.20, 96,215.16 and 63,694.16

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Solution

The fourth proportional to 64,005.20, 96,215.16 and 63,694.16 is: 95,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,005.20 : 96,215.16 = 63,694.16 : x
  2. Step 2: Convert to fraction form
    64,005.20/96,215.16 = 63,694.16/x
  3. Step 3: Cross multiply
    64,005.20x = 96,215.16 × 63,694.16
  4. Step 4: Simplify right side
    64,005.20x = 6,128,343,795.47
  5. Step 5: Solve for x
    x = 6,128,343,795.47/64,005.20
  6. Step 6: Final answer
    x = 95,747.59

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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.