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Finding the Fourth Proportional to 64,538.92, 96,735.82 and 32,860.06

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Solution

The fourth proportional to 64,538.92, 96,735.82 and 32,860.06 is: 49,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538.92 : 96,735.82 = 32,860.06 : x
  2. Step 2: Convert to fraction form
    64,538.92/96,735.82 = 32,860.06/x
  3. Step 3: Cross multiply
    64,538.92x = 96,735.82 × 32,860.06
  4. Step 4: Simplify right side
    64,538.92x = 3,178,744,849.35
  5. Step 5: Solve for x
    x = 3,178,744,849.35/64,538.92
  6. Step 6: Final answer
    x = 49,253.15

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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.