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Finding the Fourth Proportional to 73,096.35, 109,666.80 and 30,954.48

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Solution

The fourth proportional to 73,096.35, 109,666.80 and 30,954.48 is: 46,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,096.35 : 109,666.80 = 30,954.48 : x
  2. Step 2: Convert to fraction form
    73,096.35/109,666.80 = 30,954.48/x
  3. Step 3: Cross multiply
    73,096.35x = 109,666.80 × 30,954.48
  4. Step 4: Simplify right side
    73,096.35x = 3,394,678,767.26
  5. Step 5: Solve for x
    x = 3,394,678,767.26/73,096.35
  6. Step 6: Final answer
    x = 46,441.15

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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.