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Finding the Fourth Proportional to 57,409.50, 79,232.54 and 32,259

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Solution

The fourth proportional to 57,409.50, 79,232.54 and 32,259 is: 44,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,409.50 : 79,232.54 = 32,259 : x
  2. Step 2: Convert to fraction form
    57,409.50/79,232.54 = 32,259/x
  3. Step 3: Cross multiply
    57,409.50x = 79,232.54 × 32,259
  4. Step 4: Simplify right side
    57,409.50x = 2,555,962,346.57
  5. Step 5: Solve for x
    x = 2,555,962,346.57/57,409.50
  6. Step 6: Final answer
    x = 44,521.59

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