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Finding the Fourth Proportional to 73,722.56, 110,544.95 and 32,146.88

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Solution

The fourth proportional to 73,722.56, 110,544.95 and 32,146.88 is: 48,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722.56 : 110,544.95 = 32,146.88 : x
  2. Step 2: Convert to fraction form
    73,722.56/110,544.95 = 32,146.88/x
  3. Step 3: Cross multiply
    73,722.56x = 110,544.95 × 32,146.88
  4. Step 4: Simplify right side
    73,722.56x = 3,553,674,769.90
  5. Step 5: Solve for x
    x = 3,553,674,769.90/73,722.56
  6. Step 6: Final answer
    x = 48,203.36

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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.