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Finding the Fourth Proportional to 71,833.15, 107,766.60 and 21,913.25

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Solution

The fourth proportional to 71,833.15, 107,766.60 and 21,913.25 is: 32,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.15 : 107,766.60 = 21,913.25 : x
  2. Step 2: Convert to fraction form
    71,833.15/107,766.60 = 21,913.25/x
  3. Step 3: Cross multiply
    71,833.15x = 107,766.60 × 21,913.25
  4. Step 4: Simplify right side
    71,833.15x = 2,361,516,555.89
  5. Step 5: Solve for x
    x = 2,361,516,555.89/71,833.15
  6. Step 6: Final answer
    x = 32,875.03

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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.