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Finding the Fourth Proportional to 80,458.68, 120,688.02 and 25,059

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Solution

The fourth proportional to 80,458.68, 120,688.02 and 25,059 is: 37,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,458.68 : 120,688.02 = 25,059 : x
  2. Step 2: Convert to fraction form
    80,458.68/120,688.02 = 25,059/x
  3. Step 3: Cross multiply
    80,458.68x = 120,688.02 × 25,059
  4. Step 4: Simplify right side
    80,458.68x = 3,024,321,093.18
  5. Step 5: Solve for x
    x = 3,024,321,093.18/80,458.68
  6. Step 6: Final answer
    x = 37,588.50

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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.