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Finding the Fourth Proportional to 57,414, 79,238.74 and 32,263.50

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Solution

The fourth proportional to 57,414, 79,238.74 and 32,263.50 is: 44,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 79,238.74 = 32,263.50 : x
  2. Step 2: Convert to fraction form
    57,414/79,238.74 = 32,263.50/x
  3. Step 3: Cross multiply
    57,414x = 79,238.74 × 32,263.50
  4. Step 4: Simplify right side
    57,414x = 2,556,519,087.99
  5. Step 5: Solve for x
    x = 2,556,519,087.99/57,414
  6. Step 6: Final answer
    x = 44,527.80

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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.