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Finding the Fourth Proportional to 53,871.89, 80,813.30 and 14,432.99

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Solution

The fourth proportional to 53,871.89, 80,813.30 and 14,432.99 is: 21,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,871.89 : 80,813.30 = 14,432.99 : x
  2. Step 2: Convert to fraction form
    53,871.89/80,813.30 = 14,432.99/x
  3. Step 3: Cross multiply
    53,871.89x = 80,813.30 × 14,432.99
  4. Step 4: Simplify right side
    53,871.89x = 1,166,377,074.54
  5. Step 5: Solve for x
    x = 1,166,377,074.54/53,871.89
  6. Step 6: Final answer
    x = 21,650.94

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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.