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Finding the Fourth Proportional to 32,678, 48,954.51 and 22,096.08

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Solution

The fourth proportional to 32,678, 48,954.51 and 22,096.08 is: 33,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678 : 48,954.51 = 22,096.08 : x
  2. Step 2: Convert to fraction form
    32,678/48,954.51 = 22,096.08/x
  3. Step 3: Cross multiply
    32,678x = 48,954.51 × 22,096.08
  4. Step 4: Simplify right side
    32,678x = 1,081,702,769.32
  5. Step 5: Solve for x
    x = 1,081,702,769.32/32,678
  6. Step 6: Final answer
    x = 33,101.87

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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.