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Finding the Fourth Proportional to 32,389.50, 48,474.51 and 19,917.42

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Solution

The fourth proportional to 32,389.50, 48,474.51 and 19,917.42 is: 29,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.50 : 48,474.51 = 19,917.42 : x
  2. Step 2: Convert to fraction form
    32,389.50/48,474.51 = 19,917.42/x
  3. Step 3: Cross multiply
    32,389.50x = 48,474.51 × 19,917.42
  4. Step 4: Simplify right side
    32,389.50x = 965,487,110.85
  5. Step 5: Solve for x
    x = 965,487,110.85/32,389.50
  6. Step 6: Final answer
    x = 29,808.65

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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.