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Finding the Fourth Proportional to 57,825.60, 86,703.20 and 22,723.20

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Solution

The fourth proportional to 57,825.60, 86,703.20 and 22,723.20 is: 34,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,825.60 : 86,703.20 = 22,723.20 : x
  2. Step 2: Convert to fraction form
    57,825.60/86,703.20 = 22,723.20/x
  3. Step 3: Cross multiply
    57,825.60x = 86,703.20 × 22,723.20
  4. Step 4: Simplify right side
    57,825.60x = 1,970,174,154.24
  5. Step 5: Solve for x
    x = 1,970,174,154.24/57,825.60
  6. Step 6: Final answer
    x = 34,070.97

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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.