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Finding the Fourth Proportional to 73,758.96, 110,534.76 and 32,118.64

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Solution

The fourth proportional to 73,758.96, 110,534.76 and 32,118.64 is: 48,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,758.96 : 110,534.76 = 32,118.64 : x
  2. Step 2: Convert to fraction form
    73,758.96/110,534.76 = 32,118.64/x
  3. Step 3: Cross multiply
    73,758.96x = 110,534.76 × 32,118.64
  4. Step 4: Simplify right side
    73,758.96x = 3,550,226,163.93
  5. Step 5: Solve for x
    x = 3,550,226,163.93/73,758.96
  6. Step 6: Final answer
    x = 48,132.81

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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.