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Finding the Fourth Proportional to 71,940.96, 107,924.40 and 32,516.64

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Solution

The fourth proportional to 71,940.96, 107,924.40 and 32,516.64 is: 48,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940.96 : 107,924.40 = 32,516.64 : x
  2. Step 2: Convert to fraction form
    71,940.96/107,924.40 = 32,516.64/x
  3. Step 3: Cross multiply
    71,940.96x = 107,924.40 × 32,516.64
  4. Step 4: Simplify right side
    71,940.96x = 3,509,338,862.02
  5. Step 5: Solve for x
    x = 3,509,338,862.02/71,940.96
  6. Step 6: Final answer
    x = 48,780.82

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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.