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Finding the Fourth Proportional to 49,662.94, 74,494.22 and 20,080.42

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Solution

The fourth proportional to 49,662.94, 74,494.22 and 20,080.42 is: 30,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662.94 : 74,494.22 = 20,080.42 : x
  2. Step 2: Convert to fraction form
    49,662.94/74,494.22 = 20,080.42/x
  3. Step 3: Cross multiply
    49,662.94x = 74,494.22 × 20,080.42
  4. Step 4: Simplify right side
    49,662.94x = 1,495,875,225.17
  5. Step 5: Solve for x
    x = 1,495,875,225.17/49,662.94
  6. Step 6: Final answer
    x = 30,120.55

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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.