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Finding the Fourth Proportional to 57,815.20, 86,722.80 and 16,256.80

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Solution

The fourth proportional to 57,815.20, 86,722.80 and 16,256.80 is: 24,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,815.20 : 86,722.80 = 16,256.80 : x
  2. Step 2: Convert to fraction form
    57,815.20/86,722.80 = 16,256.80/x
  3. Step 3: Cross multiply
    57,815.20x = 86,722.80 × 16,256.80
  4. Step 4: Simplify right side
    57,815.20x = 1,409,835,215.04
  5. Step 5: Solve for x
    x = 1,409,835,215.04/57,815.20
  6. Step 6: Final answer
    x = 24,385.20

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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.