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Finding the Fourth Proportional to 57,869.20, 86,989.40 and 53,760.40

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Solution

The fourth proportional to 57,869.20, 86,989.40 and 53,760.40 is: 80,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,869.20 : 86,989.40 = 53,760.40 : x
  2. Step 2: Convert to fraction form
    57,869.20/86,989.40 = 53,760.40/x
  3. Step 3: Cross multiply
    57,869.20x = 86,989.40 × 53,760.40
  4. Step 4: Simplify right side
    57,869.20x = 4,676,584,939.76
  5. Step 5: Solve for x
    x = 4,676,584,939.76/57,869.20
  6. Step 6: Final answer
    x = 80,813.02

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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.