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Finding the Fourth Proportional to 57,409.78, 79,225.14 and 32,259.28

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Solution

The fourth proportional to 57,409.78, 79,225.14 and 32,259.28 is: 44,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,409.78 : 79,225.14 = 32,259.28 : x
  2. Step 2: Convert to fraction form
    57,409.78/79,225.14 = 32,259.28/x
  3. Step 3: Cross multiply
    57,409.78x = 79,225.14 × 32,259.28
  4. Step 4: Simplify right side
    57,409.78x = 2,555,745,974.30
  5. Step 5: Solve for x
    x = 2,555,745,974.30/57,409.78
  6. Step 6: Final answer
    x = 44,517.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.