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Finding the Fourth Proportional to 80,465.50, 120,717.75 and 25,061.50

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Solution

The fourth proportional to 80,465.50, 120,717.75 and 25,061.50 is: 37,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.50 : 120,717.75 = 25,061.50 : x
  2. Step 2: Convert to fraction form
    80,465.50/120,717.75 = 25,061.50/x
  3. Step 3: Cross multiply
    80,465.50x = 120,717.75 × 25,061.50
  4. Step 4: Simplify right side
    80,465.50x = 3,025,367,891.63
  5. Step 5: Solve for x
    x = 3,025,367,891.63/80,465.50
  6. Step 6: Final answer
    x = 37,598.32

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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.