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Finding the Fourth Proportional to 73,416.72, 110,123.78 and 27,833.20

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Solution

The fourth proportional to 73,416.72, 110,123.78 and 27,833.20 is: 41,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,416.72 : 110,123.78 = 27,833.20 : x
  2. Step 2: Convert to fraction form
    73,416.72/110,123.78 = 27,833.20/x
  3. Step 3: Cross multiply
    73,416.72x = 110,123.78 × 27,833.20
  4. Step 4: Simplify right side
    73,416.72x = 3,065,097,193.50
  5. Step 5: Solve for x
    x = 3,065,097,193.50/73,416.72
  6. Step 6: Final answer
    x = 41,749.31

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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.