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Finding the Fourth Proportional to 63,984.78, 95,977.20 and 32,800.14

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Solution

The fourth proportional to 63,984.78, 95,977.20 and 32,800.14 is: 49,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,984.78 : 95,977.20 = 32,800.14 : x
  2. Step 2: Convert to fraction form
    63,984.78/95,977.20 = 32,800.14/x
  3. Step 3: Cross multiply
    63,984.78x = 95,977.20 × 32,800.14
  4. Step 4: Simplify right side
    63,984.78x = 3,148,065,596.81
  5. Step 5: Solve for x
    x = 3,148,065,596.81/63,984.78
  6. Step 6: Final answer
    x = 49,200.23

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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.