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Finding the Fourth Proportional to 57,813.60, 86,685.20 and 22,711.20

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Solution

The fourth proportional to 57,813.60, 86,685.20 and 22,711.20 is: 34,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,813.60 : 86,685.20 = 22,711.20 : x
  2. Step 2: Convert to fraction form
    57,813.60/86,685.20 = 22,711.20/x
  3. Step 3: Cross multiply
    57,813.60x = 86,685.20 × 22,711.20
  4. Step 4: Simplify right side
    57,813.60x = 1,968,724,914.24
  5. Step 5: Solve for x
    x = 1,968,724,914.24/57,813.60
  6. Step 6: Final answer
    x = 34,052.97

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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.