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Finding the Fourth Proportional to 57,722.60, 86,562.30 and 20,268.20

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Solution

The fourth proportional to 57,722.60, 86,562.30 and 20,268.20 is: 30,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.60 : 86,562.30 = 20,268.20 : x
  2. Step 2: Convert to fraction form
    57,722.60/86,562.30 = 20,268.20/x
  3. Step 3: Cross multiply
    57,722.60x = 86,562.30 × 20,268.20
  4. Step 4: Simplify right side
    57,722.60x = 1,754,462,008.86
  5. Step 5: Solve for x
    x = 1,754,462,008.86/57,722.60
  6. Step 6: Final answer
    x = 30,394.72

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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.