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Finding the Fourth Proportional to 32,114.92, 48,120.54 and 19,777

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Solution

The fourth proportional to 32,114.92, 48,120.54 and 19,777 is: 29,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.92 : 48,120.54 = 19,777 : x
  2. Step 2: Convert to fraction form
    32,114.92/48,120.54 = 19,777/x
  3. Step 3: Cross multiply
    32,114.92x = 48,120.54 × 19,777
  4. Step 4: Simplify right side
    32,114.92x = 951,679,919.58
  5. Step 5: Solve for x
    x = 951,679,919.58/32,114.92
  6. Step 6: Final answer
    x = 29,633.58

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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.