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Finding the Fourth Proportional to 64,220.32, 96,342.52 and 29,162.48

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Solution

The fourth proportional to 64,220.32, 96,342.52 and 29,162.48 is: 43,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220.32 : 96,342.52 = 29,162.48 : x
  2. Step 2: Convert to fraction form
    64,220.32/96,342.52 = 29,162.48/x
  3. Step 3: Cross multiply
    64,220.32x = 96,342.52 × 29,162.48
  4. Step 4: Simplify right side
    64,220.32x = 2,809,586,812.65
  5. Step 5: Solve for x
    x = 2,809,586,812.65/64,220.32
  6. Step 6: Final answer
    x = 43,749.19

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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.